Solve 7x*5x=

$$7x \times 5x=$$

Evaluate

$$35x^{2}$$

Solution Steps

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

$$7x^{2}\times 5$$

Multiply 7 and 5 to get 35.

$$35x^{2}$$

Differentiate w.r.t. x

$$70x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{2}\times 5)$$

Multiply 7 and 5 to get 35.

$$\frac{\mathrm{d}}{\mathrm{d}x}(35x^{2})$$

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

$$2\times 35x^{2-1}$$

Multiply 2 times 35.

$$70x^{2-1}$$

Subtract 1 from 2.

$$70x^{1}$$

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

$$70x$$