Solve 9+5x^2-5-2-4x^2

$$9 + 5 x ^ { 2 } - 5 - 2 - 4 x ^ { 2 }$$

Evaluate

$$x^{2}+2$$

Solution Steps

Subtract 5 from 9 to get 4.

$$4+5x^{2}-2-4x^{2}$$

Subtract 2 from 4 to get 2.

$$2+5x^{2}-4x^{2}$$

Combine 5x^{2} and -4x^{2} to get x^{2}.

$$2+x^{2}$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Subtract 5 from 9 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4+5x^{2}-2-4x^{2})$$

Subtract 2 from 4 to get 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2+5x^{2}-4x^{2})$$

Combine 5x^{2} and -4x^{2} to get x^{2}.

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

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$