Solve 4x^2-20^2+25

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

Evaluate

$$4x^{2}-375$$

Solution Steps

Calculate 20 to the power of 2 and get 400.

$$4x^{2}-400+25$$

Add -400 and 25 to get -375.

$$4x^{2}-375$$

Differentiate w.r.t. x

$$8x$$

Steps Using Derivative Rule for Sum

Calculate 20 to the power of 2 and get 400.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}-400+25)$$

Add -400 and 25 to get -375.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}-375)$$

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.

$$8x$$