Solve x15^2*20

$$x 15 ^ { 2 } \times 20$$

Evaluate

$$4500x$$

Solution Steps

Calculate 15 to the power of 2 and get 225.

$$x\times 225\times 20$$

Multiply 225 and 20 to get 4500.

$$x\times 4500$$

Differentiate w.r.t. x

$$4500$$

Steps Using Definition of a Derivative

Calculate 15 to the power of 2 and get 225.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 225\times 20)$$

Multiply 225 and 20 to get 4500.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 4500)$$

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

$$4500x^{1-1}$$

Subtract 1 from 1.

$$4500x^{0}$$

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

$$4500\times 1$$

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

$$4500$$