Solve -6:1/2+5d

$$- 6 : \frac { 1 } { 2 } + 5 d$$

Evaluate

$$5d-12$$

Solution Steps

Divide -6 by \frac{1}{2} by multiplying -6 by the reciprocal of \frac{1}{2}.

$$-6\times 2+5d$$

Multiply -6 and 2 to get -12.

$$-12+5d$$

Differentiate w.r.t. d

$$5$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$5d^{1-1}$$

Subtract 1 from 1.

$$5d^{0}$$

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

$$5\times 1$$

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

$$5$$