Use to rewrite as .

Since is constant with respect to , the derivative of with respect to is .

Apply basic rules of exponents.

Rewrite as .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Combine and .

Move the negative in front of the fraction.

To apply the Chain Rule, set as .

Differentiate using the Power Rule which states that is where .

Replace all occurrences of with .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Combine and .

Simplify the expression.

Move to the denominator using the negative exponent rule .

Multiply by .

Combine and .

Move the negative in front of the fraction.

By the Sum Rule, the derivative of with respect to is .

Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Multiply by .

Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Multiply by .

Since is constant with respect to , the derivative of with respect to is .

Add and .

Reorder the factors of .

Find the Derivative f(x)=64/( cube root of 5x^2+7x+8)