Solve 2xsqrt{225}

$$2x \sqrt{ 225 }$$

Evaluate

$$30x$$

Solution Steps

Calculate the square root of 225 and get 15.

$$2x\times 15$$

Multiply 2 and 15 to get 30.

$$30x$$

Differentiate w.r.t. x

$$30$$

Steps Using Definition of a Derivative

Calculate the square root of 225 and get 15.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x\times 15)$$

Multiply 2 and 15 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x)$$

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

$$30x^{1-1}$$

Subtract 1 from 1.

$$30x^{0}$$

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

$$30\times 1$$

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

$$30$$