3 tanh (In(4x)) sech" (In(4x)), I) y = tanh (In(4.x)) [y

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Q: Find the derivative of fl6)-32" ). (v²+5) tan (5x

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Q: 2. (In(x)) ? dx Xる

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Q: 91/ Find y 1. Y rx) 2/x tanh Cr 2. Y-Cosh' (2Jx tI ) (2Jx+I

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Q: 3) Find the total derivative for each the following cases: a) Find dy/dx: y = 4x2 + 2x², where ==…

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Q: 2. The figure below shows the graph of a function k(x) and its tangent line at a point (a, 2). The…

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Q: y = x³ – 3x2 – 4x What is the graph of the function? Y =

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Q: 3. Find the derivative of y with respect to x in the followin u? a) у3 u = 3x' - 2 and u' + 1 b)…

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Q: Find f. f'(x) = 1 + 3/x, f(4) = 28 х, %3D

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Q: Find the derivative of h(x) = O O a.) h'(x)= b.) c.) d.) ܝܕܝ h'(x) = h'(x) = h'(x)= 2 Waiting for…

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Q: Find the derivative of f(æ) = (– 72³ + 4x°) (5e* – 1) -

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Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: Find the derivative of r = In (cos" x).

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Q: please show where the absolute stripes of " ln|y-1| " go?

A: Consider the differential equation , , where .The solution is .Also observe that thegeneral solution…

Q: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: d²y Find the second derivative (Notation: 2 or y') if xy = y² + 2. Simplify dx² until there are no…

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Q: What is the derivative of y = 10sin 5x 5 In 10 cos x 10in 5x 5 In10 (10sin Sx) A. C. 5 cos x In 10…

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Q: 1. x'-11/x +2 dx

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Q: D-the derivative is y = In In (VW) 1 +

A: The objective of the question is determine the derivative of the given function.

Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

Q: Determine all values z ∈ C satisfying  e^z = −2i.

A: ANSWER :

Q: (g) y = Vtanh 3r (h) y= sinh(cosh 2.x)

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Q: Use the rules of differentiation to find the derivative of the function y= 3+6sin: a. y' = 3+6cosx…

A: To find the derivative of the below function. y=3+6sinx

Q: Find the derivative of y. y = cosh x5 O -5x sinh xã O sinh xã O 5x4 sinh xã O sinh xã

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Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…