Solve 4x*-2^2

$$4x \times - { 2 }^{ 2 }$$

Evaluate

$$-16x$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4x\left(-4\right)$$

Multiply 4 and -4 to get -16.

$$-16x$$

Differentiate w.r.t. x

$$-16$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x\left(-4\right))$$

Multiply 4 and -4 to get -16.

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

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

$$-16x^{1-1}$$

Subtract 1 from 1.

$$-16x^{0}$$

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

$$-16$$