Solve 9(x)25*2-13

$$9 ( x ) 25 \cdot 2 - 13$$

Evaluate

$$450x-13$$

Solution Steps

Multiply 9 and 25 to get 225.

$$225x\times 2-13$$

Multiply 225 and 2 to get 450.

$$450x-13$$

Differentiate w.r.t. x

$$450$$

Steps Using Derivative Rule for Sum

Multiply 9 and 25 to get 225.

$$\frac{\mathrm{d}}{\mathrm{d}x}(225x\times 2-13)$$

Multiply 225 and 2 to get 450.

$$\frac{\mathrm{d}}{\mathrm{d}x}(450x-13)$$

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}.

$$450x^{1-1}$$

Subtract 1 from 1.

$$450x^{0}$$

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

$$450\times 1$$

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

$$450$$