`F(x) = (x^4 + 3x^2 - 2)^5` Find the derivative of the function.

Textbook Question

Chapter 3, 3.4 - Problem 7 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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gsarora17's profile pic

gsarora17 | (Level 2) Associate Educator

Posted on

`F(x)=(x^4+3x^2-2)^5`

`F'(x)=5(x^4+3x^2-2)^(5-1) *(4x^(4-1)+3*2*x^(2-1))`

`F'(x)= 5(x^4+3x^2-2)^4 *(4x^3+6x)`

`F'(x) = 10(2x^3+3x)(x^4+3x^2-2)^4`

balajia's profile pic

balajia | College Teacher | (Level 1) eNoter

Posted on

`F(x)=(x^4+3x^2-2)^5`

`F'(x)=5(x^4+3x^2-2)^(5-1).(4x^(4-1)+3(2x^(2-1)))`

`F'(x)=5(x^4+3x^2-2)^4.(4x^3+6x)`

`F'(x)=10(x^4+3x^2-2)^4.(2x^3+3x)`

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