Solve 9x(4)-45+4x-16=

$$9 x ( 4 ) - 45 + 4 x - 16 =$$

Evaluate

$$40x-61$$

Solution Steps

Multiply 9 and 4 to get 36.

$$36x-45+4x-16$$

Combine 36x and 4x to get 40x.

$$40x-45-16$$

Subtract 16 from -45 to get -61.

$$40x-61$$

Differentiate w.r.t. x

$$40$$

Steps Using Derivative Rule for Sum

Multiply 9 and 4 to get 36.

$$\frac{\mathrm{d}}{\mathrm{d}x}(36x-45+4x-16)$$

Combine 36x and 4x to get 40x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(40x-45-16)$$

Subtract 16 from -45 to get -61.

$$\frac{\mathrm{d}}{\mathrm{d}x}(40x-61)$$

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}.

$$40x^{1-1}$$

Subtract 1 from 1.

$$40x^{0}$$

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

$$40\times 1$$

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

$$40$$