Solve 12^2*5x

$${ 12 }^{ 2 } \times 5x$$

Evaluate

$$720x$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$144\times 5x$$

Multiply 144 and 5 to get 720.

$$720x$$

Differentiate w.r.t. x

$$720$$

Steps Using Definition of a Derivative

Calculate 12 to the power of 2 and get 144.

$$\frac{\mathrm{d}}{\mathrm{d}x}(144\times 5x)$$

Multiply 144 and 5 to get 720.

$$\frac{\mathrm{d}}{\mathrm{d}x}(720x)$$

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

$$720x^{1-1}$$

Subtract 1 from 1.

$$720x^{0}$$

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

$$720\times 1$$

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

$$720$$