Solve 5x*4^2

$$5x \times { 4 }^{ 2 }$$

Evaluate

$$80x$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$5x\times 16$$

Multiply 5 and 16 to get 80.

$$80x$$

Differentiate w.r.t. x

$$80$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 2 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x\times 16)$$

Multiply 5 and 16 to get 80.

$$\frac{\mathrm{d}}{\mathrm{d}x}(80x)$$

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

$$80x^{1-1}$$

Subtract 1 from 1.

$$80x^{0}$$

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

$$80\times 1$$

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

$$80$$