Solve 2x*5x(15)=

$$2 x \times 5 x ( 15 ) =$$

Evaluate

$$150x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$2x^{2}\times 5\times 15$$

Multiply 2 and 5 to get 10.

$$10x^{2}\times 15$$

Multiply 10 and 15 to get 150.

$$150x^{2}$$

Differentiate w.r.t. x

$$300x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 5\times 15)$$

Multiply 2 and 5 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}\times 15)$$

Multiply 10 and 15 to get 150.

$$\frac{\mathrm{d}}{\mathrm{d}x}(150x^{2})$$

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

$$2\times 150x^{2-1}$$

Multiply 2 times 150.

$$300x^{2-1}$$

Subtract 1 from 2.

$$300x^{1}$$

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

$$300x$$