Slope of the curve

Nov 2019
3
0
Turkey
Question: Find the slope of the curve's graph at the given point. Then find the equation of tangent and normal line to be graph if exist. I need to your help.

y = 2tan(pi.x/4) at x=1
 
Jun 2013
1,112
590
Lebanon
\(\displaystyle f(x)= 2 \tan \left(\frac{\pi x}{4}\right)\)

\(\displaystyle f(1)=2\)

The equation of the tangent line is of the form

\(\displaystyle y-2=m(x-1)\)
 
Nov 2019
3
0
Turkey
Thank you very much. But how can we calculate the derivative of this equation? I couldn't do it.