AP Calculus Derivative Problem (10 points!!)?
If h(x) = sin(f(x)), write an equation of the line tangent to h at the point where x = 1.
@ x =1, f(x)= 3pi/4, f'(x)=square root 2.
Can someone please help!!! 10 pts for best answer 
If h(x) = sin(f(x)), write an equation of the line tangent to h at the point where x = 1.
@ x =1, f(x)= 3pi/4, f'(x)=square root 2.
Can someone please help!!! 10 pts for best answer
Comments
To find the tangent line equation y=mx+c at x=1 on h(x):
h(1)=sin(f(1)) = sin(3pi/4)=1/sqrt(2)
h'(x)=cos(f(x)).f'(x) ... chain rule
h'(1)=cos(f(1)).f'(1)
=cos(3pi/4).sqrt(2) = -1
m=h'(1)=-1
find c in y=-x+c: subst
c=1/sqrt(2) +1
y=-x+1/sqrt(2) +1