Question

A point is moving along the graph of  the given function such that dx/dt is 2 centimeters per second. Find dy/dt for the given values of x.

y = tan x                          (a) x = - π/3                   (b) x = - π/4                  (c) x = 0

Answer 1

Step 1 :

The function is .

Apply derivative with respect to t .

Step 2 :

(a)

Substitute and  .

Solution :

(a) .

Answer 2

Step 1 :

(b)

Substitute and  .

Solution :

(b).

Answer 3

Step 1 :

(c)

Substitute and  .

Solution :

(c) .