Solve 10x*5x

$$10 x \cdot 5 x$$

Evaluate

$$50x^{2}$$

Solution Steps

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

$$10x^{2}\times 5$$

Multiply 10 and 5 to get 50.

$$50x^{2}$$

Differentiate w.r.t. x

$$100x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}\times 5)$$

Multiply 10 and 5 to get 50.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50x^{2})$$

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

$$2\times 50x^{2-1}$$

Multiply 2 times 50.

$$100x^{2-1}$$

Subtract 1 from 2.

$$100x^{1}$$

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

$$100x$$