Solve sqrt{25}5x

$$\sqrt{ 25 } 5x$$

Evaluate

$$25x$$

Solution Steps

Calculate the square root of 25 and get 5.

$$5\times 5x$$

Multiply 5 and 5 to get 25.

$$25x$$

Differentiate w.r.t. x

$$25$$

Steps Using Definition of a Derivative

Calculate the square root of 25 and get 5.

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

Multiply 5 and 5 to get 25.

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

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

$$25x^{1-1}$$

Subtract 1 from 1.

$$25x^{0}$$

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

$$25\times 1$$

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

$$25$$