# Derivatives (5 Problems)

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Find the derivative of the function and simplify.

f(x)= x^3(5 - 3x^2)

f(x)= x^2 + x - 1/x^2 - 1

f(x)= (5x^2 + 2)^3

g(x)= x sqrt(x^2 + 1)

given f(x)= 3x^2 + 7x +1, find f''(x)

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#### Solution Preview

1. f(x)= x^3(5 - 3x^2)

f' = 5x^3 - 3 x^5

= 15 x^2 - 15x^4

= 15 x^2(1 -x^2)

f(x)= x^2 + x - ...

#### Solution Summary

Derivatives are found and simplified.

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