16.8. More on Derivatives

Since it's easy to make a mistake taking a derivative by hand, you can check your work using the app. Type the expression as it appears in the problem.

Examples
Find the first derivative of each function below.

$1) f(x)=(2x-3)(x-2)^2$

$2) f(x)=(2x-3)^4$

$3) f(x)=\frac{(2x-3)^4}{x+3}$

$4) f(x)=\sqrt[4]{x^2-3x+1}$

$5) f(x)=2e^4-3ex^e+4$

Calculator solutions
Note: You don't need to type f(x) since it's implied. Enter the expression in parentheses and take the first derivative by tapping the exponent key (x^n) twice.

$1) f(x)=(2x-3)(x-2)^2$

Type the expression as given: ((2x - 3)(x - 2)^2)'

$2) f(x)=(2x-3)^4$

Type the expression as given: ((2x - 3)^4)'

$3) f(x)=\frac{(2x-3)^4}{x+3}$

Type the expression as given: ((2x - 3)^4/(x + 3))'

$4) f(x)=\sqrt[4]{x^2-3x+1}$

Type the expression as given: (root[4](x^2 - 3x + 1))'
Find the 4th root by typing "root" using the a-z keyboard. Place the index in brackets and the argument in parentheses, Type brackets by tapping the parentheses keys twice.

$5) f(x)=2e^4-3ex^e+4$

Type the expression as given: (2e^4 - 3ex^e + 4)'

NEXT: 17. Partial Derivatives>

list of contents