If y = ln(tanhx), find dy/dx.

Q: Зx + log dy find dx If y = 4 — Зх -

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Q: S.Si dx dy о 1+ху

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Q: Differentiate: y=ln(x)/x^8 dy/dx=

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Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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Q: your

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Q: dy Find dz and simplify: y=ln[tanh(ax)] where a = constant

A: Topic = Derivative

Q: Use x = ey to explain why d/dx (ln x) = 1/x, for x > 0.

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Q: Find dy/dx by implicit differentiation for the following.:y ln tan y + x = 4

A: Given: ln tany+x=4 differentiate with respect to x we get,  ⇒ddxy lntany+x=0 ⇒ddxy lntany+x+ddxx=0…

Q: dy Solve the derivative dx for the function: x = e'sint ; y = etcost

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Q: find the indicated derivative. dy/dx if y = 1

A: y=1

Q: Evaluate

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Q: dy for log, 3* dx = esinh x.In siny Q1/ Find

A: The expression of the function is .

Q: Find dx by using logarithmic differentiation for = (Cos x)(e)

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Q: Find dy/dx by implicit differentiation. (sin pix + cos piy)8 = 12

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Q: Find dx when x = 0, if given y = tan¬ (sinh r).

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Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: Find the indicated derivative. dy for y =x19 dx

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Q: find dy/dx for following equation,   6xy - ln(y) = 2x + ey

A: Given information: 6xy-lny=2x+ey

Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: Find dy/dx if y = √ln x

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Q: L{ e¬at sinh wt} =

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Q: Find dy/dx by implicit differentiation. e^(y)=3x−7y Answer: dy/dx=

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Q: find the indicated derivative. dy/dx if y = x-4

A: The derivative of a function of the form  y=fx is a measure of rate at which the value y  changes…

Q: If x = a cost + log tan- y = asint 2 Find dy/dx

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Q: Find dy/dx by implicit differentiation for the following.   2x + ln y = x4y4

A: Given :2x+lny = x4y4

Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: sin x cos x tanx y =

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Q: Find dy/dx for y=ln(tan(x))

A: Apply chain rule [ (f(g(x))' = f'(g(x))*g'(x) ]

Q: Find the indicated derivative and simplify. 1 for y = 49x (x² + 3) dy dx dx ||

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Q: dy Solve the derivative for the function x arcsin e', y = v1 – e2t. dx

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Q: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: Find dy/dx for thw following function

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Q: Find dx dy for the equation y =cosh (2x)tanh x3)+.

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Q: find dy/dx,y=ln|secx|

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Q: d y' of y= In(tanh2

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Q: Calculate dy / dx if x = ln(csc y+ cot y)

A: Given expression is

Q: dy * Find dx ソ= sint sx-cost

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Q: Solve Y for csc(3Y) + e2%cot(y²) = log2/xy dx

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Q: Find the following derivative. d/dx(ln|sinx|)

A: We use chain Rule

Q: Find dy using logarithnic dufferentiation dx Sinx Cosx tan?x 2-y=

A: Find dy/dx using logarithmic differentiation  Given y = x³√(1+x²)

Q: Find dy/dx by implicit differentiation. cot(y) = 6x − 9y

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Q: Calculate dy/dx using implicit differentiation. ey - ex = C, where C is constant

A: the given implicit function is: ey-ex=C where C is constant we have to find the value of dydx

Q: Find dy/dx by implicit differentiation. x6+y7=45

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Q: obtain the ava dient to Cu gra equation givey by メ= ln and sigh '2t wh 3.

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Q: Incot3x dx sinh e* 1+9x

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Q: Sind dy forys(x) dx 3517X

A: y=(xx)3sin x