Solve 3x^2-x(-5x)

$$3 x ^ { 2 } - x ( - 5 x )$$

Evaluate

$$8x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$3x^{2}-x^{2}\left(-5\right)$$

Combine 3x^{2} and -x^{2}\left(-5\right) to get 8x^{2}.

$$8x^{2}$$

Differentiate w.r.t. x

$$16x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-x^{2}\left(-5\right))$$

Combine 3x^{2} and -x^{2}\left(-5\right) to get 8x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 8x^{2-1}$$

Multiply 2 times 8.

$$16x^{2-1}$$

Subtract 1 from 2.

$$16x^{1}$$

For any term t, t^{1}=t.

$$16x$$