1. Consider the function Y= Sin(5x) on the 0

Q: Let f (x) = 6 sinh 1(tan(x) , O < x < 5. Find the slope of the line tangent to the graph of f at the…

A: Given: Here, we need to find the tangent line to the graph of f at the point on its graph where…

Q: Consider the function h(x) = 1/5 x^5 − 1/3 x^3 + 2. a)  Using derivatives, find the interval(s)…

A:

Q: 20. Show that -V3 is in the range of the tangent function by finding an angle 0 for which tan 0 =…

A: Given:  tan θ = -3To Find : The value of θTo Show:  -3 is in the range of the tangent…

Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line…

A: Given query is to find the points where tangent is horizontal.

Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

Q: O 0.5

A: The given data from the problem are:The  tangent line at the point (3, 2) The point is (7, 4)

Q: 3. Consider the function f (x) = sin² x + sin x on the interval (0,2n). a) Find the open interval on…

A: The given function is fx=sin2x+sinx on the interval 0,2π. a) Obtain the first derivative of the…

Q: y = tan 8' [0, 2]

A:

Q: 1. Use the graph of the function f (1) below to answer the following questions: a) For what values…

A: According to bartelby's guidelines we can only answer three subparts of a question.Please post the…

Q: Find the vertical asymptote for the function y=3 sec 1/2x in the interval (0,4 pi)

A: The given function is y=3sec12x ; 0,4π

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: Determine the equation of the line that is tangent to y = 2 tan x, where x = 4. O-4x + y - (2-) = 0…

A:

Q: ) Find the derivative of the following: a) sin (4x- 7x+ 3)

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Use a plot to argue that tan(x) is not differntiable at +or- π/2. b) Use the fact that d/dx…

A: In the following, we have proved that tan(x) is not differentiable at +or-  π/2.

Q: Find all extrema and any inflection points for the function f(x)=sec² x-2 tan x on the interval T T…

A: