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