In: Math
1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x= π/3.
2. Determine the point(s) where the tangent line to y= 2sinx-4x has a slope of-3 in the domain 0≤x≤ 2π.
b) Find the equation of the tangent line.
Solution-
Find the slope at point of a tangent for function y=f(x)
Differentiation,
at,
Now find y at,
Use slop, point form to get the equation of the tangent line,
Equation of the tangent,