In which of the following points does the graph of f(x) = 2 cos x + sin 2x has a horizontal tangent line? (pi/6, 0) (pi/2, 0) (pi/6, -3/2) (3pi/2, 0)

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e- sin x and passes…

A:

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

Q: Find the equation of the line tangent to the graph of f(x) = -3 cos (x) at x 2

A:

Q: t cosh (t² – 1) dt f(x) = Ji+in (1) tan-'t

A:

Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A:

Q: Find the equation of the tangent line when x = a on the function (x) = -5 cos(x)

A: slope-point form : (y-y1)= m(x-x1) ; where 'm' is slope and x1,y1 is the point.

Q: The slope of the tangent line to the curve r=cos20 at 0= 1/4is none of these O-V3 0 1 O (-1)/V3

A: As we know that; The slope of the tangent line to the polar curve at the given point is equal to the…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Corresponding to θ=0, the x and y coordinates will be,

Q: Determine the equation of the tangent line to the graph of 3sin y – In(e secha) = tan- (x²y) + 3 at…

A: Given  : 3siny - ln(e sechx) = tan-1(x²y) + x/3

Q: find the equation of the tangent line for the given f(x) at the given point f(x)=tan11(pi(x)),…

A: Given point is (1/4, 1) and given function is

Q: 1. Find the equation of the tangent line on tan-'(x²y) = cos(;x²) + xy². at (V7, 0).

A: Here is the solution

Q: Find the points on the interval [0, 2π) where the graph of the function  f(x) = 2 sin(x) + sin2(x)…

A: Given:f(x)=2sin(x)+sin2(x),       [0,2π)

Q: Find an equation of the tangent line to the curve at the given point. y = 3ex cos(x), (0,3) %3D

A:

Q: Find an equation of the tangent line to the graph of f at the given point.            f(x) = (1 +…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 3ex cos x, (0, 3)

A: To find: The equation of the tangent line to the curve  at the given point0,3 Given information: The…

Q: Give the equation of the tangent line to the graph of 3sin y – In(e sech r) = tan-'(x²y) + 3 at the…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Find an equation of the tangent line to the curve at the given point. 3. Y sin xt cos P (0, 3)

A:

Q: Find an equation of the tangent line to the curve at the given point. 3 y = sin(x) + cos(x)' Р%3D…

A: Given,  Equation of line: y = 3sin x + cos x We need to determine the equation of tangent at point…

Q: Find an equation of the tangent line to the curve at the given point. y = 8ex cos(x), (0,8) y =…

A: Here y is given find.slope.from.it then solve as below

Q: Find the slope of the tangent line to the curve 5 sin(æ) + 3 cos(y) – 4 sin(x) cos(y) + x = 7n at…

A:

Q: What is the slope of the tangent line to cos(æ – y) = xe" at the point (0, ). O 1 -2 O None of these…

A:

Q: The derivative of In (cos x) is A -tan x B None of the given choices tan x D sec x -sec x

A:

Q: Find an equation of the tangent line to the graph of the function f(x) =tan(2x) at (?/8,1)

A:

Q: Find an equation of the tangent line to the graph of f at the given point.

A: Given,           fx=1+cosx1-cosx , π2,1

Q: Find the equation of the tangent line to the graph of the functionf (z) = sin (7/z) at the point…

A: Given equation is                                              f(x)=sin7x we have to find tangent at…

Q: Find an equation of the tangent line to the curve at the given point. y = 6x + 4 cos(x), P = (0, 4)…

A: the equation of the tangent line at (x0 , y0) is y−y0 = m (x-x0)

Q: Find an equation of the tangent line to the graph of the function F(x) = tan²(x) at the point 1 -4x…

A: Here we find the tangent equation.

Q: 5. Find the slope of the tangent line to the graph of r = 2-2 cos 0 when 0

A: Given equation of the curve - r = 2-2cosθSlope of the tangent to the curve is given by drdθ,drdθ =…

Q: 2) Find all points on the graph of f (x) = 2 sin x + sin2 x at which the tangent line is horizontal.

A: Given fx=2sinx+sin2x To find points:

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A:

Q: Find a point of the following curve at which the tangent line has equation = x + T. .2 2.xy –…

A: Given equation of tangent  is     y=x+π⇒ slope of tangent  =1

Q: Give the equation of the tangent line to the graph of 3sin y − ln(e sech x) = tan−1(x2y) + x/3 at…

A:

Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

A:

Q: Suppose that the tangent line to the graph of f(r) = *) at r=1 is equal to the tangent line to the…

A:

Q: Find an equation of the tangent line to the curve at each given point. x = 2 – 3 cos 0, y = 3 + 2…

A: Topic :- Application of Derivative

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (3/7) at the point…

A: SOLUTION-

Q: 6. P=(0,9) Sin(x)+ Cos (x)

A:

Q: 5. Determine the equation of the curve whose tangent line at any point (x, y) is e* – sinx and…

A: We need to find equation of curve.

Q: Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form…

A:

Q: For what values of x does the graph of f(x) = 3e*cosx have a horizontal tangent line? 4.

A: Explanation of the answer is as follows

Q: Find an equation for the tangent line drawn to the graph of f(x) = 2 cos z at z = Use exact values.

A:

Q: Find the slope of the tangent line to the graph of r = 2-2 cos e when 0 %3D

A:

Q: 4. Find the slope of the tangent line to r = cos 0 at 0 = 3 %3D

A:

Q: Find the equation of the line tangent to the graph ofy = 3 sin x + cos 2x at x = π/2

A:

Q: Find the equation of the tangent line to y = g(x) =x? + 2 cos(x) at the point where x= 2

A:

Q: Find the equation of the tangent line to the graph of f(x) = 5 sin(x) + 6 cos(x) at x = equation: in…

A:

Q: Find an equation of the tangent line to the curve at the given point. 1 + sin(x) y = (п, — 1) cos(x)

A:

Q: Show complete solution. Determine the slope of the tangent line to the graph of the equation ey =…

A: