Solve (7/4)/2(x-0)^2

$$\frac { ( \frac { 7 } { 4 } ) } { 2 } ( x - 0 ) ^ { 2 }$$

Evaluate

$$\frac{7x^{2}}{8}$$

Solution Steps

Express \frac{\frac{7}{4}}{2} as a single fraction.

$$\frac{7}{4\times 2}\left(x-0\right)^{2}$$

Multiply 4 and 2 to get 8.

$$\frac{7}{8}\left(x-0\right)^{2}$$

Multiply -1 and 0 to get 0.

$$\frac{7}{8}\left(x+0\right)^{2}$$

Anything plus zero gives itself.

$$\frac{7}{8}x^{2}$$

Differentiate w.r.t. x

$$\frac{7x}{4}$$

Steps Using Definition of a Derivative

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

$$2\times \frac{7}{8}x^{2-1}$$

Multiply 2 times \frac{7}{8}.

$$\frac{7}{4}x^{2-1}$$

Subtract 1 from 2.

$$\frac{7}{4}x^{1}$$

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

$$\frac{7}{4}x$$