Solve A(3,5)/3(-1,2)

$$A ( 3,5 ) / 3 ( - 1,2 )$$

Evaluate

$$-\frac{7A}{5}$$

Solution Steps

Divide A\times 3,5 by 3 to get A\times \frac{7}{6}.

$$A\times \frac{7}{6}\left(-1,2\right)$$

Multiply \frac{7}{6} and -1,2 to get -1,4.

$$A\left(-1,4\right)$$

Differentiate w.r.t. A

$$-1,4$$

Steps Using Definition of a Derivative

Divide A\times 3,5 by 3 to get A\times \frac{7}{6}.

$$\frac{\mathrm{d}}{\mathrm{d}A}(A\times \frac{7}{6}\left(-1,2\right))$$

Multiply \frac{7}{6} and -1,2 to get -1,4.

$$\frac{\mathrm{d}}{\mathrm{d}A}(A\left(-1,4\right))$$

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

$$-1,4A^{1-1}$$

Subtract 1 from 1.

$$-1,4A^{0}$$

For any term t except 0, t^{0}=1.

$$-1,4$$