Question

Find the slope of the line tangent to the function sin(2x)+ x at x = pi/4

Answer #1

Use implicit differentiation to find an equation of the line
tangent to the curve sin(x+y)=2x-y at the point (pi,2\pi )

Find the tangent to the function f(x) = sin(2x) at x = π.

determine the equation of tangent line to the graph of
y=tan(1/2x)+xcot(2x+pi/4) at x=pi/2

find the slope then find the equation of a tangent line that is
tangent to the curve f(x)=x2tan(x) at (pi, 0) (hint: use
product rule)

f(x)=1/2x ln x^4, (-1,0)
a) find an equation of the tangent line to the graph of the
function at the indicated point.
b) Use a graphing utility to graph the function and its tangent
line at the point.

1.) Find the equation of the tangent line to the graph of the
function f(x)=5x-4/2x+2 at the point where x=2
2.) Find the derivative: r(t)=(ln(t^3+1))^2

1. Find the slope of the tangent line to r=2+sin30 at the point
where Θ=pi/4
2. Find the area of the region that lies inside the curve
r=4*sinΘ and outside the curve r=2

Tangent Line Quiz
Find the slope and the equations of the tangent lines to the
given curves at each of the given points.
1. ? = 2 cos ? ? = 3 sin ?
a. ? = ?/4
b. ? = ?/2
2. ? = cos 2? ? = sin 4?
a. ? = ? /4
b. ? = ?/2

Find the tangent line equation to the curve r=4-3sinx when
x=pi

1. Find the slope of the tangent line to
r=2+sin3Θ at the point where
Θ=pi/4 Θ=theta
2. Find the area of the region that lies inside the
curve r=4*sinΘ and outside the curve r=2

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