Solve 12x5^2=

$$12x { 5 }^{ 2 } =$$

Evaluate

$$300x$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$12x\times 25$$

Multiply 12 and 25 to get 300.

$$300x$$

Differentiate w.r.t. x

$$300$$

Steps Using Definition of a Derivative

Calculate 5 to the power of 2 and get 25.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x\times 25)$$

Multiply 12 and 25 to get 300.

$$\frac{\mathrm{d}}{\mathrm{d}x}(300x)$$

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

$$300x^{1-1}$$

Subtract 1 from 1.

$$300x^{0}$$

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

$$300\times 1$$

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

$$300$$