Solve (7.7/8.8t)

$$( \frac { 7.7 } { 8.8 } t )$$

Evaluate

$$\frac{7t}{8}$$

Solution Steps

Expand \frac{7.7}{8.8} by multiplying both numerator and the denominator by 10.

$$\frac{77}{88}t$$

Reduce the fraction \frac{77}{88} to lowest terms by extracting and canceling out 11.

$$\frac{7}{8}t$$

Differentiate w.r.t. t

$$0.875$$

Steps Using Definition of a Derivative

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

$$0.875t^{1-1}$$

Subtract 1 from 1.

$$0.875t^{0}$$

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

$$0.875\times 1$$

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

$$0.875$$