Answer to Question #315262 in Calculus for Niu_bi

Question

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

Name: ____________________ Grade & Section: _______________ Date: __________

  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 - $\xlongequal{x}$

 4. ( )

√

Answer 1

$1.f(x)=-4x^5+2x^{-4}-2468$

$f'(x)=−20x ^ 4 −8x ^{-5}$

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

$f'(x)=−9x ^{ −4} −x ^{ −3/4} −12$

$3. f(x)=4 x ^{ 3/4} ​ −x ^ 6$

$f'(x)=3x ^{ −1/4} −6x ^ 5$

$4. f(x)=x ^{ −6} −2x ^ 2 + 4 x ​$

$f'(x)=−6x^{-7}−4x+ 4 ​$