# How do you find the derivative of #f(x)=-2x^-3+x^2-7#?

##### 2 Answers

#### Explanation:

Use the power rule for differentiation:

We know that the derivative of

The function

We apply the power rule on each part.

Derivative:

Derivative:

Derivative:

Derivative:

The derivative of a constant is zero, so:

Derivative:

We add the derivatives of each part up:

So the derivative would be:

#### Explanation:

Since we're dealing with a polynomial, we can find the derivative with the help of the Power Rule.

We simply multiply the exponent by the coefficient, and decrement the power by one. Recall that the derivative of a constant is zero.

We now have:

Hope this helps!