Solve 12xsqrt{36}

$$12 x \sqrt { 36 }$$

Evaluate

$$72x$$

Solution Steps

Calculate the square root of 36 and get 6.

$$12x\times 6$$

Multiply 12 and 6 to get 72.

$$72x$$

Differentiate w.r.t. x

$$72$$

Steps Using Definition of a Derivative

Calculate the square root of 36 and get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x\times 6)$$

Multiply 12 and 6 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.

$$72$$