Question

Find an equation of the tangent line to the curve
y=4xsin(x)
at the point (π/2,2π). Express your answer in the form y=mx+b.

i know the derivative is 4sinx+4xcosx

Answer 1

derivative at point \((\pi/2 , 2\pi) \)
will give you the slope of tangent at that point

Answer 2

so plug in x = pi/2 in your derivative

Answer 3

yes but i got the wrong answer

Answer 4

what slope did u get ?

Answer 5

4

Answer 6

thats correct

y - 2pi = 4 (x - pi/2)

you got this ?
simplified ? what did u get ?

Answer 7

y=4(x-pi/2) +2pi

Answer 8

yep
multiply 2 on both sides

Answer 9

or distribute 4 to
(x-pi/2)

Answer 10

do u get the final answer as y =4x ?

Answer 11

Pi/2 then

Answer 12

yes i got the answer

Answer 13

cool, any more doubts ?

Answer 14

nope

Answer 15

thank you

Answer 16

welcome ^_^