Solve x^2+7^2-25

$$x ^ { 2 } + 7 ^ { 2 } - 25$$

Evaluate

$$x^{2}+24$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$x^{2}+49-25$$

Subtract 25 from 49 to get 24.

$$x^{2}+24$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Calculate 7 to the power of 2 and get 49.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+49-25)$$

Subtract 25 from 49 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+24)$$

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.

$$2x$$