Solve (a)*4div1/13

$$( a ) \cdot 4 \div \frac { 1 } { 13 }$$

Evaluate

$$52a$$

Solution Steps

Divide a\times 4 by \frac{1}{13} by multiplying a\times 4 by the reciprocal of \frac{1}{13}.

$$a\times 4\times 13$$

Multiply 4 and 13 to get 52.

$$a\times 52$$

Differentiate w.r.t. a

$$52$$

Steps Using Definition of a Derivative

Divide a\times 4 by \frac{1}{13} by multiplying a\times 4 by the reciprocal of \frac{1}{13}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\times 4\times 13)$$

Multiply 4 and 13 to get 52.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\times 52)$$

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

$$52a^{1-1}$$

Subtract 1 from 1.

$$52a^{0}$$

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

$$52\times 1$$

For any term t, t\times 1=t and 1t=t.

$$52$$