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

Question

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

mathmale · Answer

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

mathmale · Answer

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.

anonymous · Answer

yeah but i need help finding the derivative

anonymous · Answer

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

anonymous · Answer

$$6\sec ^{2}3x$$

anonymous · Answer

i believe

anonymous · Answer

sorry i was really late in replying

anonymous · Answer

but i hope this helps

anonymous · Answer

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