Solve 2x(6)^2

$$2x{(6)}^{2}$$

Evaluate

$$72x$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$2x\times 36$$

Multiply 2 and 36 to get 72.

$$72x$$

Differentiate w.r.t. x

$$72$$

Steps Using Definition of a Derivative

Calculate 6 to the power of 2 and get 36.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x\times 36)$$

Multiply 2 and 36 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.

$$72$$