Solve -8x[45:(-5)]=

$$- 8 x [ 45 : ( - 5 ) ] =$$

Evaluate

$$72x$$

Solution Steps

Divide 45 by -5 to get -9.

$$-8x\left(-9\right)$$

Multiply -8 and -9 to get 72.

$$72x$$

Differentiate w.r.t. x

$$72$$

Steps Using Definition of a Derivative

Divide 45 by -5 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-8x\left(-9\right))$$

Multiply -8 and -9 to get 72.

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

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.

$$72$$