Question

find the equation of the tangent line
y=2tan^3x at (pi/4,2)

Answer 1

You might find this problem to be slightly easier to understand and solve if you'd write the function in this manner:\[y=\tan^3 x~or~y=(\tan x)^3\]

Answer 2

To find the equation of the tangent line to the graph of this function, you'll need the derivative, dy/dx, because here the derivative value is the value of the slope of the tangent line to the curve at any x for which this derivative is defined.

Answer 3

yeah but i need help finding the derivative

Answer 4

use chain rule, which makes the derivative \[(2\sec ^{2}3x)(3)\]

Answer 5

\[6\sec ^{2}3x\]

Answer 6

i believe

Answer 7

sorry i was really late in replying

Answer 8

but i hope this helps

Answer 9

its okay thank you. can you help me with the finding the slope