Rational functions differentiation
- Description
- Find and evaluate derivatives of rational functions.
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Find and evaluate derivatives of rational functions. |
Timed Test
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Exponential functions differentiation
- Description
- Find derivatives of exponential functions. For example, differentiate f(x)=10^(x²-1).
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Find derivatives of exponential functions. For example, differentiate f(x)=10^(x²-1). |
Timed Test
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Logarithmic functions differentiation
- Description
- Find derivatives of logarithmic functions. For example, differentiate f(x)=log(x²-1).
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Find derivatives of logarithmic functions. For example, differentiate f(x)=log(x²-1). |
Timed Test
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Trig functions differentiation
- Description
- Find and evaluate derivatives of functions that include trigonometric expressions. For example, for f(x)=cos(5π/3-2x), find f'(π/6).
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Find and evaluate derivatives of functions that include trigonometric expressions. For example, for f(x)=cos(5π/3-2x), find f'(π/6). |
Timed Test
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Derivatives capstone
- Description
- You think you know how to differentiate any kind of function? Try this capstone exercise.
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You think you know how to differentiate any kind of function? Try this capstone exercise. |
Timed Test
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Implicit differentiation
- Description
- Practice using implicit differentiation.
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Practice using implicit differentiation. |
Timed Test
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Derivatives of inverse functions
- Description
- Practice the relationship between the derivatives of inverse functions: if f and g are inverse functions, then f’(x)=1/(g’(f(x)).
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Practice the relationship between the derivatives of inverse functions: if f and g are inverse functions, then f’(x)=1/(g’(f(x)). |
Timed Test
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Increasing & decreasing intervals
- Description
- Find the intervals in which a function (given algebraically) is increasing or decreasing.
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Find the intervals in which a function (given algebraically) is increasing or decreasing. |
Timed Test
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Composite exponential function differentiation
- Description
- Differentiate functions that have the variable both in the base and in the exponent. For example, differentiate xˣ.
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Differentiate functions that have the variable both in the base and in the exponent. For example, differentiate xˣ. |
Timed Test
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Relative minima & maxima
- Description
- Practice finding relative minima and maxima of functions given algebraically.
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Practice finding relative minima and maxima of functions given algebraically. |
Timed Test
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Disguised derivatives
- Description
- Evaluate limit expressions that describe derivatives of functions.
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Evaluate limit expressions that describe derivatives of functions. |
Timed Test
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Vector-valued functions differentiation
- Description
- Find the derivatives of vector-valued functions.
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Find the derivatives of vector-valued functions. |
Timed Test
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Absolute minima & maxima (closed intervals)
- Description
- Find absolute minimum/maximum points of continuous functions over closed intervals.
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Find absolute minimum/maximum points of continuous functions over closed intervals. |
Timed Test
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Absolute minima & maxima (entire domain)
- Description
- Find absolute minimum/maximum points of continuous functions over their entire domain.
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Find absolute minimum/maximum points of continuous functions over their entire domain. |
Timed Test
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Second derivatives
- Description
- Find second derivatives of various functions. For example, given f(x)=sin(2x), find f''(x).
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Find second derivatives of various functions. For example, given f(x)=sin(2x), find f''(x). |
Timed Test
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Parametric functions differentiation
- Description
- Find and evaluate derivatives of parametric functions.
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Find and evaluate derivatives of parametric functions. |
Timed Test
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Analyze concavity (graphical)
- Description
- Practice your understanding of concavity.
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Practice your understanding of concavity. |
Timed Test
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Second derivatives (vector-valued functions)
- Description
- Find second derivatives of vector-valued functions.
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Find second derivatives of vector-valued functions. |
Timed Test
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Analyze concavity (algebraic)
- Description
- Find intervals where a function (given algebraically) is concave up or down.
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Find intervals where a function (given algebraically) is concave up or down. |
Timed Test
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Second derivatives (parametric functions)
- Description
- Find second derivatives of parametric functions.
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Find second derivatives of parametric functions. |
Timed Test
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