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

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

Evaluate

$$7x-34$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$2x-25+5x-5-4$$

Combine 2x and 5x to get 7x.

$$7x-25-5-4$$

Subtract 5 from -25 to get -30.

$$7x-30-4$$

Subtract 4 from -30 to get -34.

$$7x-34$$

Differentiate w.r.t. x

$$7$$

Steps Using Derivative Rule for Sum

Calculate 5 to the power of 2 and get 25.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x-25+5x-5-4)$$

Combine 2x and 5x to get 7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-25-5-4)$$

Subtract 5 from -25 to get -30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-30-4)$$

Subtract 4 from -30 to get -34.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-34)$$

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}.

$$7x^{1-1}$$

Subtract 1 from 1.

$$7x^{0}$$

For any term t except 0, t^{0}=1.

$$7\times 1$$

For any term t, t\times 1=t and 1t=t.

$$7$$