find the equation of the tangent line to y=(sin x)^4x at the point (pi/2, 1)
Do you really mean:
...... ??
If so re-write f to:
...... and use the chain rule to calculate the derivative:
Now plug in to calculate the slope of the tangent.
Since and too you'll get:
and therefore the equation of the tangent is
EDIT: According to Jhevons reply the equation of the tangent is