Solve 5x^2-3-4x^2+1

$$5 x ^ { 2 } - 3 - 4 x ^ { 2 } + 1$$

Evaluate

$$x^{2}-2$$

Solution Steps

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

$$x^{2}-3+1$$

Add -3 and 1 to get -2.

$$x^{2}-2$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-3+1)$$

Add -3 and 1 to get -2.

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

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.

$$2x$$