Solve quad4x(-3)*(-6)-15x

$$\quad 4 x ( - 3 ) \times ( - 6 ) - 15 x$$

Evaluate

$$57x$$

Solution Steps

Multiply 4 and -3 to get -12.

$$-12x\left(-6\right)-15x$$

Multiply -12 and -6 to get 72.

$$72x-15x$$

Combine 72x and -15x to get 57x.

$$57x$$

Differentiate w.r.t. x

$$57$$

Steps Using Definition of a Derivative

Multiply 4 and -3 to get -12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-12x\left(-6\right)-15x)$$

Multiply -12 and -6 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}x}(72x-15x)$$

Combine 72x and -15x to get 57x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(57x)$$

The derivative of ax^{n} is nax^{n-1}.

$$57x^{1-1}$$

Subtract 1 from 1.

$$57x^{0}$$

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

$$57\times 1$$

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

$$57$$