Answer to Question #317779 in Calculus for Niu_bi

Question

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

 Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

 

1. f(x) = -₄x⁵+ ______x^-4 - 2468

2. f (x) =____x^-3- _____x^1/4 - 12x

3.f(x)= ____ $\sqrt[4]{x^3} - \underset{x^-6}{=} + \frac{2}{3}$ x⁶

4.f (x) = $\underset{x^-6}{=} -$ ____ x² + $\sqrt[4]{x}$

Answer 1

$f(x)=-4x^5+2x^{-4}-2466$

$f'(x)=-20x^4-8x^{-5}$

2. $f(x)=2x^{-3}-4x^{1/4}-12x$

$f'(x)=-6x^{-4}-x^{-3/4}-12$

3. $f(x)=4x^{3/4}-x^{-6}+2/3x^6$

$3x^{-1/4}+6x^{-7}+4x^5$

4. $f(x)=x^{-6}-2x^2+x^{1/4}$

$f'(x)=-6x^{-7}-4x+1/4x^{-3/4}$