Solve 2t^2+5+9t^2-5

$$2 t ^ { 2 } + 5 + 9 t ^ { 2 } - 5$$

Evaluate

$$11t^{2}$$

Solution Steps

Combine 2t^{2} and 9t^{2} to get 11t^{2}.

$$11t^{2}+5-5$$

Subtract 5 from 5 to get 0.

$$11t^{2}$$

Differentiate w.r.t. t

$$22t$$

Steps Using Definition of a Derivative

Combine 2t^{2} and 9t^{2} to get 11t^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(11t^{2}+5-5)$$

Subtract 5 from 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(11t^{2})$$

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

$$2\times 11t^{2-1}$$

Multiply 2 times 11.

$$22t^{2-1}$$

Subtract 1 from 2.

$$22t^{1}$$

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

$$22t$$