Solve 75x*52div25x

$$75x \times 52 \div 25x$$

Evaluate

$$156x^{2}$$

Solution Steps

Multiply 75 and 52 to get 3900.

$$\frac{3900x}{25}x$$

Divide 3900x by 25 to get 156x.

$$156xx$$

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

$$156x^{2}$$

Differentiate w.r.t. x

$$312x$$

Steps Using Definition of a Derivative

Multiply 75 and 52 to get 3900.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3900x}{25}x)$$

Divide 3900x by 25 to get 156x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(156xx)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(156x^{2})$$

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

$$2\times 156x^{2-1}$$

Multiply 2 times 156.

$$312x^{2-1}$$

Subtract 1 from 2.

$$312x^{1}$$

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

$$312x$$