Use the theorems on derivatives to find the derivatives of the following function: f(x)=(5x^{3}+8x^{2}-4)^{4}(8x^{4}-2x^{3}-7)

nagasenaz

nagasenaz

Answered question

2021-06-01

Use the theorems on derivatives to find the derivatives of the following function:
f(x)=(5x3+8x24)4(8x42x37)

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-06-02Added 102 answers

Step 1
Given
f(x)=(5x3+8x24)4(8x42x37)
Step 2
Find the derivative
f(x)=(5x3+8x24)4(8x42x37)
f(x)=(5x3+8x24)4ddx(8x42x37)+(8x42x37)ddx(5x3+8x24)4
f(x)=(5x3+8x24)4[32x36x2]+(8x42x37)[4(5x3+8x24)3ddx(5x3+8x24)4]
f(x)=2x2(16x3)(5x3+8x24)4+(8x42x37)[4(5x3+8x24)3(15x2+16x)]
f(x)=2x2(16x3)(5x3+8x24)4+4x(15x+16)(8x42x37)(5x3+8x24)3
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-25Added 2605 answers

Answer is given below (on video)

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