Solve 4x^2-20+25^2=

$$4 x ^ { 2 } - 20 + 25 ^ { 2 } =$$

Evaluate

$$4x^{2}+605$$

Solution Steps

Calculate 25 to the power of 2 and get 625.

$$4x^{2}-20+625$$

Add -20 and 625 to get 605.

$$4x^{2}+605$$

Differentiate w.r.t. x

$$8x$$

Steps Using Derivative Rule for Sum

Calculate 25 to the power of 2 and get 625.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}-20+625)$$

Add -20 and 625 to get 605.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}+605)$$

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}.

$$2\times 4x^{2-1}$$

Multiply 2 times 4.

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

Subtract 1 from 2.

$$8x^{1}$$

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

$$8x$$