Find the first and second derivatives of the function. f(x)=x^{4}-3x^{3}+16x

kuCAu

kuCAu

Answered question

2021-05-22

Find the first and second derivatives of the function.
f(x)=x43x3+16x

Answer & Explanation

l1koV

l1koV

Skilled2021-05-23Added 100 answers

Step 1
To find the first and second derivatives of the function.
f(x)=x43x3+16x
Step 2
Differentiate f(x) with respect to x
f(x)=(4x41)3(3x31)+16(1x11)
f(x)=4x39x2+16
Differentiate f'(x) with respect to x
f(x)=4(3x31)9(2x21)+16(0)
f(x)=12x218x
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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