. Orthogonal Trajectories y = C (sec x + tan x) Oy² = 2 (C -sin x) 2y = (Csin x)²

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

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Q: Find the derivative dy dx dx of the function y = sec (1 + 4 + sin ¹(4 + ²)

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Q: What is the maximum value of f(t) = sin t + cos t in the interval 0<t< =?

A: Given; f(t) = Sin t + Cos t.

Q: Find 이승 dy dx y=3(secx + tan x)(secx- tan x) 11 ***

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Q: find the fallowing Js(x)

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Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

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Q: Find dy/dx by implicit differentiation   √(x + y) =  1 + x2y 2

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Q: Find all of the critical points of the function f(x, y) = x²y². Can the second derivatives test be…

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Q: Differentiate. g(t) = 21t g' (t) =

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Q: Explain why the linear approximation to ƒ(x) = cos x at x = 0 is L(x) = 1.

A: The linear approximation, or tangent line approximation, of f at x=a is defined as Lx=fa+f'ax-a This…

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

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Q: Use function f(x)=x-Cos(x) to differentiate Newton,s. Method and Fixed point method.

A: Given that f(x) = x - cos(x) ---(1)   To get the solution of f(x)= 0 we first apply fixed point…

Q: Is the function h(x) = 3 cos x+ sin x concave up or down at the point 3 я?

A: Given:

Q: Find all complementary functions of the equation xy"+y'=0, x>0 1, x 1, Inx X, xlnx X, X-1 a. b. C.…

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Q: Q1) Use implicit differentiation to find dy/dx if a) (3xy + 6)2 = 7y b) x cos(3x + 2y) = y sin x %3D

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Q: Q2) Use implicit differentiation to find y'" if y2 – 2x = 1 – y

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