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1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x=...

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.

Solutions

Expert Solution

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,

milcah answered 2 years ago
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