Solve (1.25x)(x)/2

$$\frac { ( 1.25 x ) ( x ) } { 2 }$$

Evaluate

$$\frac{5x^{2}}{8}$$

Solution Steps

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

$$\frac{1.25x^{2}}{2}$$

Divide 1.25x^{2} by 2 to get 0.625x^{2}.

$$0.625x^{2}$$

Differentiate w.r.t. x

$$\frac{5x}{4}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1.25x^{2}}{2})$$

Divide 1.25x^{2} by 2 to get 0.625x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.625x^{2})$$

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

$$2\times 0.625x^{2-1}$$

Multiply 2 times 0.625.

$$1.25x^{2-1}$$

Subtract 1 from 2.

$$1.25x^{1}$$

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

$$1.25x$$