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Chain rule

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What did I do wrong?
1. Find f'(x) when f(x)= 5x(sinx + cosx)
My answer: cos(4x^2)- sin(6x^2)/(5x^2)
2. Find f'(x) when f(x)= ((x^3) + 4x + 4))^2
My answer: 6x^2(x^3 + 4x + 4)
3. Find f'(x) when f(x)= (3x + 8)^-3
My answer: -6(3x + 8)
4. Find f'(x) when f(x)= Sq root of (5x + 8)
My answer: x/5x + 8
5. Find f'(x) when f(x)= cos(3x + 2)
My answer: ?
6. Find f'(x) when f(x)= sin(cos(x^5))
My answer: ?

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Solution Summary

This shows six examples of derivatives using chain rule

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Problem:

What did I do wrong?
1. Find f'(x) when f(x)= 5x(sinx + cosx)
My answer: cos(4x^2)- sin(6x^2)/(5x^2)
2. Find f'(x) when f(x)= ((x^3) + 4x + 4))^2
My answer: 6x^2(x^3 + 4x + 4)
3. Find f'(x) when f(x)= (3x + 8)^-3
My answer: -6(3x + 8)
4. Find f'(x) when f(x)= Sq root of (5x + 8)
My answer: x/5x + 8
5. Find f'(x) when f(x)= cos(3x + 2)
My answer: ?
6. Find f'(x) when f(x)= sin(cos(x^5))
My answer: ...

Purchase this Solution
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