Solve d/dt(5t^2-3t)

$$\frac { d } { d t } ( 5 t ^ { 2 } - 3 t )$$

Evaluate

$$10t-3$$

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}.

$$2\times 5t^{2-1}-3t^{1-1}$$

Multiply 2 times 5.

$$10t^{2-1}-3t^{1-1}$$

Subtract 1 from 2.

$$10t^{1}-3t^{1-1}$$

Subtract 1 from 1.

$$10t^{1}-3t^{0}$$

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

$$10t-3t^{0}$$

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

$$10t-3$$

Differentiate w.r.t. t

$$10$$