Solve x^2-15^2+26

$${ x }^{ 2 } - { 15 }^{ 2 } +26$$

Evaluate

$$x^{2}-199$$

Solution Steps

Calculate 15 to the power of 2 and get 225.

$$x^{2}-225+26$$

Add -225 and 26 to get -199.

$$x^{2}-199$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Calculate 15 to the power of 2 and get 225.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-225+26)$$

Add -225 and 26 to get -199.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-199)$$

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.

$$2x$$