Solve 4x(-3)*(-6)-1

$$4 x ( - 3 ) \times ( - 6 ) - 1$$

Evaluate

$$72x-1$$

Solution Steps

Multiply 4 and -3 to get -12.

$$-12x\left(-6\right)-1$$

Multiply -12 and -6 to get 72.

$$72x-1$$

Differentiate w.r.t. x

$$72$$

Steps Using Derivative Rule for Sum

Multiply 4 and -3 to get -12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-12x\left(-6\right)-1)$$

Multiply -12 and -6 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}x}(72x-1)$$

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}.

$$72x^{1-1}$$

Subtract 1 from 1.

$$72x^{0}$$

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

$$72\times 1$$

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

$$72$$