Solve -16.17t^0+13.2t+33

$$- 16.17 t ^ { 0 } + 13.2 t + 33$$

Evaluate

$$\frac{66t}{5}+16.83$$

Solution Steps

Calculate t to the power of 0 and get 1.

$$-16.17+13.2t+33$$

Add -16.17 and 33 to get 16.83.

$$16.83+13.2t$$

Differentiate w.r.t. t

$$13.2$$

Steps Using Derivative Rule for Sum

Calculate t to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}t}(-16.17+13.2t+33)$$

Add -16.17 and 33 to get 16.83.

$$\frac{\mathrm{d}}{\mathrm{d}t}(16.83+13.2t)$$

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}.

$$13.2t^{1-1}$$

Subtract 1 from 1.

$$13.2t^{0}$$

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

$$13.2\times 1$$

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

$$13.2$$