Use the function f and the given real number a to find (f-1)'(a). (Hint: See Example 5. If an answer does not exist, enter DNE.) f(x) = cos(9x), OsxS T/9, a = 1 %3D

Q: Differentiate the function. y = (cos(6x))* y'(x) =

A: Function given is - y=cos6xx Taking logarithm both the sides we get- logy=(log6x)x =xlog6x…

Q: Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure. a = d…

A: From the given graph, we see       f(0) = -10       f(π) = -2

Q: Examine the following figure. 6 f(x)=sin(x) Of(x) = in(x) 2 One of the functions below is not drawn…

A:

Q: d da -f(x) = cos x, f(0) = 9.

A:

Q: Find g'(x) for the given function. g(x) = /15x

A:

Q: 1-6 Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A: The objective is to solve .

Q: 13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions…

A:

Q: f(1) =- cos" (21)+e* f (t)=-3t'e 05+ +3.82*e2* 40.5t 2.4t

A:

Q: 1. Given g () = sin 2z, find g (-i). 0 1

A:

Q: f (t) =-e" sin (21 + 7)

A:

Q: Find the following derivatives a. 2 tan-(2x²) b. e-3/5 -3/5 + 2x-3/4

A: Solving the problem by finding the derivative of the below function.

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: State the range of the function f(x) = 3 cos ("X 플). O [-1/3,1/3] O (-00,00) O (-3,3] O (-1,1] O…

A:

Q: Integrate the given function. π/4 0 x secx tan xdx π/4 [x 0 (Round to four decimal places as…

A:

Q: Compare the functions shown below:   g(x) f(x) = 4x − 1   h(x) = cos(x + 2π) Using complete…

A:

Q: Find an expression for the inverse of f(x) = e³x+1. f-¹(x) = 4

A: Topic- functions and inverse functions We are given, f(x)=e3x+1 we know that ln(ex)=x

Q: f(r) = sin z %3D

A: f:D→ℝ is uniformly convergent if ∀ε>0,∃δ>0 such that ∀x,y∈D with x-y<δ we have…

Q: A graph of y=f(x) is shown below. Find a formula for f(x) given that f(x)=DA sin(Bx - C)+D. y y =…

A: Solution

Q: What is Q(1.5) if f(x) = cos(x) and Q(x) is centered at? Round your answer to 4 decimals, for…

A: We know Taylor's series for f(x) around x=a is  Q(x)≈∑k=0∞f(k)(a)k!(x-a)k

Q: need help with this

A:

Q: The figure shows how a function f(x) and its linear approximation (i.e., its tangent line) change…

A: Differentiation is defined as the rate of change of the dependent variable with respect to the…

Q: Given that f(x) = cos?(7x), find f'(x) as a function of æ. f'(x) =

A:

Q: 14 Consider the following two functions: 1 exp dx %3D (面) e() tan (2) %3D Explain why both of these…

A: Given function is  φv=12π∫-∞ve-x22dx Let us consider  fx=12πe-x22 Then, fx is the probability…