2 question Jet flz)= (7-1)sinllx-1)²+2y2) for fl)=0 ond 3= x + iy e ¢\ {13. a) Show that the function f is continuous function a t point zo = 1. f hos complex derivative no 5) Show that the function

Q: 1) Find an equation of the tangent line to the curve at (1,1). y = cos (In x²) %D

A: Given. Curve is  Y = cos(ln X²) We need to find the equation of the line which is tangent to the…

Q: A- Say whether the function is even, odd, or neither 1) g(x) = 4+tan x 3) g(x) == .) f(s) = 3s +2 4)…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2) Find the derivative of a) y = (x-2x4)5 (sin 2x). etanx √3x6-sec 6ex √8x+In x d) f(x) = cos(x¹ -…

A: (a)   Given    y = x-2x45 sin 2x             ⇒  y' = x-2x45 2 cos 2x +sin 2x 5x-2x441-8x3…

Q: Find the derivative. 26) dx 16t7 dt A) B) 2x5 - 2 C) 16x7/2 D) 8x3 sin t 1 27) du 25 - u2 1 - Cos t…

A: 26) To find the derivative  ddx∫1x16t7dt First find the integral ∫1x16t7dt=16∫1xt7dt…

Q: 1-Vx Let f (x) = Which one is the derivative of f (x)? = COS 1+vx

A: Solution: The objective is to find the derivative of the given function

Q: Question: Find the derivative of 25 cos(sin² (tanx)) Solution: d dx (25 cos (sin²(tan x))) 11 50…

A:

Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

A:

Q: Question: Find Y As A Function Of T If 16y" - 40y' + 25y = 0. Y(0) = 9, Y')O) = 5. Y = . Find y as a…

A:

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. & 1² (520 - €) 30 dt =…

A:

Q: Consider the function f(x)=2cos(x) is it a sinusoidal function? Show all work. Explain why

A:

Q: f(seca tan a – 8a")da tan a + a° + c sec a +a8 +e - sec * – a8 +c sec a – a° +e sec a +8

A:

Q: х2-х+2 7) y = *²-x+2 7) у-

A: Concept- Use the formula of d/dx (x^n)=nx^(n-1).

Q: 1) Circle the two equations for which the use of logarithmic differentiation would be most…

A: We can differentiate the functions in options (a) and (b) directly by using standard formulas. So no…

Q: 5. (a) 1 6. (a) The amplitude of the function y=4sin(x+ë)+1_is (b) 4 (c) 5 The horizontal…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: Let f (x, y) = e(3x-4y). Find the equation for the tangent plane to the graph of f at the point (1,…

A:

Q: Find the derivative of the trigonometic function, no chain rule please! 2.2 & 2.3 rules only…

A:

Q: Now H= [² 2 id 2² H эрг = Ho 2² [Ho Sin (Kr_wt)] ar 2 [2 Ho Sin (Kr- wt) Ho 2/ [cos (kr-wt) x] K Ho…

A: They have derived the partial derivative. Our aim is to explain the derivative rule.

Q: given function then derivative Now dz dr dz d४ sing rcass-38³ He Have to find it's dz dr = dz 5 = 5…

A: We have to transcribe the given text in the digital form.

Q: 1) Determine the derivative o a) f(x) = -4e*² b) y = cos(3*) c) g(x) = -2 sin3 (2x) %3D %3D

A: Note: Multiple subparts are given, we are answered with first three parts only, if you need more…

Q: 2) Inverse of function, y =;+1, with check 5

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

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: Section 2.6: #2) Find dydk by tmpHet differentiation- Cos Cxy) = 1 + Cin COs

A:

Q: Find f. f"(x) = -2 + 12x - 12x, f(0) = 7, f'(0) = 18 f(x) =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let z = CSC y y³ Then dz dy csc (y) — csc (y) [1³] X

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.