Answer to Question #177897 in Math for John

Question

Differentiate with respect to the variable

y= sin3t, find dy/dt

v= 11sin4t - 5cos5t, find dv/dt

Answer 1

Solution. Using the rules of differentiation and the table of derivates we get

$$\frac{dy}{dt}=3cos(3t)$$

$$\frac{dv}{dt}=11\times4\times cos(4t)-5\times 5 \times (-sin(5t))=44cos(4t)+25sin(5t)$$

Answer.

$$\frac{dy}{dt}=3cos(3t)$$

$$\frac{dv}{dt}=44cos(4t)+25sin(5t)$$