Solve -3.6-1.9t+1.2+5.1t

$$-3.6-1.9t+1.2+5.1t$$

Evaluate

$$\frac{16t-12}{5}$$

Solution Steps

Add -3.6 and 1.2 to get -2.4.

$$-2.4-1.9t+5.1t$$

Combine -1.9t and 5.1t to get 3.2t.

$$-2.4+3.2t$$

Differentiate w.r.t. t

$$3.2$$

Steps Using Derivative Rule for Sum

Add -3.6 and 1.2 to get -2.4.

$$\frac{\mathrm{d}}{\mathrm{d}t}(-2.4-1.9t+5.1t)$$

Combine -1.9t and 5.1t to get 3.2t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(-2.4+3.2t)$$

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}.

$$3.2t^{1-1}$$

Subtract 1 from 1.

$$3.2t^{0}$$

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

$$3.2\times 1$$

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

$$3.2$$