Solve 10x*3x=

$$10x \times 3x=$$

Evaluate

$$30x^{2}$$

Solution Steps

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

$$10x^{2}\times 3$$

Multiply 10 and 3 to get 30.

$$30x^{2}$$

Differentiate w.r.t. x

$$60x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}\times 3)$$

Multiply 10 and 3 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x^{2})$$

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

$$2\times 30x^{2-1}$$

Multiply 2 times 30.

$$60x^{2-1}$$

Subtract 1 from 2.

$$60x^{1}$$

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

$$60x$$