Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x^{2}, what is h'(-1)?

BolkowN

BolkowN

Answered question

2021-05-19

Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h(1)?

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-05-20Added 110 answers

Step 1
We have given the functions
f(x)=6x and g(x)=3x2
Step 2
Find their derivatives.
f(x)=6
g(x)=6x
Step 3
Let h(x)=f(x)+g(x)
Using sum rule, the derivative of h(x) is
h(x)=[f(x)+g(x)]
=f(x)+g(x)
=6+6x
Then, h(1)=6+6(1)=0
Step 4
The answer is 0.

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