Solve =16x^2/78

$$= \frac { 16 x ^ { 2 } } { 78 }$$

Differentiate w.r.t. x

$$\frac{16x}{39}$$

Steps Using Definition of a Derivative

Divide 16x^{2} by 78 to get \frac{8}{39}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8}{39}x^{2})$$

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

$$2\times \frac{8}{39}x^{2-1}$$

Multiply 2 times \frac{8}{39}.

$$\frac{16}{39}x^{2-1}$$

Subtract 1 from 2.

$$\frac{16}{39}x^{1}$$

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

$$\frac{16}{39}x$$

Evaluate

$$\frac{8x^{2}}{39}$$

Solution Steps

Divide 16x^{2} by 78 to get \frac{8}{39}x^{2}.

$$\frac{8}{39}x^{2}$$