entiate g(x)=In(tanhx) in its simplest fo (x)= In(tanhx)sech°x In(tanhx)sech'x tanhx sech'x (x)%D tanh?x sech'x (x)=In(tanh(x)) tanh“x (x)=coth(x)sech2(x) X

Q: Given g(x) = ln[(x^1/3 + sinx - 3tanx)/3x^4 - x^1/2], calculate g'(x)

A: Given equation is , gx=lnx13+sinx-3tanx3x4-x12 Let's find g'(x) Formulae we are using here,…

Q: Find f'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

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Q: y= 16 +. 16 tan' (7x) y=e

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Q: h(x)= 8/x-2/x^3+1/x^4 Find H'(x)

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Q: 6) Find f'(x) by dif Vsec'x ferentiating f(x)%3D

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Q: b) f(x) = 3x

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Q: g(t)=−4t^7e^t−2sintcost whats g'

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Q: find f'(x). 5x(x+2 tan(x)) sec (x) Find f'(3). f(x)= 5x² tan z sec z

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Q: et ● t'(x) = 805x4 (x),1 O %3D O t'(x) = 80(e)-(e*)(5x4) (x),1 e2r e2x ((*(-(,r5)(,2) 08 = (x),1 C…

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Q: Determine p′(x) if p(x)=ln(5x^2+x+6/x^3/5 tan(x)).

A: Given query is to find the derivative of the function.

Q: Let f(x)=ln(x^2+4x+12) f'(x)f′(x) =

A: Given is the function f(x)=lnx2+4x+12 The given function can be solved by using chain rule. The…

Q: Find f' where f(x) = ln(x²-2x)

A: We have to find  for the following functionWe know that

Q: F(x) = 1/ x + e^x What can x not equal to?

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Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the…

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: QI Find f'(x) for 1+ sec1(x) 1- csc-1(x) csc (x) + sec '(x) V(-1)(csc 1(x) - 1)* csc (x) + sec '(x)…

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Q: -1 tan 'x f(x) = %3D Jx cosx f'(x) =

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Q: Find f' (x) for 7 sec(r) f(x) = 4(1 + 5 tan(æ)) f' (x) = ||

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Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

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Q: The derivative of y= sech-1(x sechx)+e$inh (Inx) equals Select one: – x sechx tanhx+ sechx O y:…

A: Given

Q: Sketch the graph of the equation: 1+tanhx F(x}=;In 1-tanhx

A: Given: F(x)=12ln1+tanhx1-tanhx To sketch: the graph of the given equation.

Q: s(x)=(f(x))^3x what is the derivative of s at -1 g(x)= f(ln x) what is the derivative of g at e^2

A: Given The equations is  s(x)=f(x)3x   and  g(x)=f(ln x)

Q: 5-x * tan(x) If f (x ) = -sec(x) (a) f'(x) (b) f'(5)

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Q: Find f'(x) where f(x) = esina Of(a)=esing cos O f'(x) = sinx. ecosx ○ f'(x) = ecos sinx . O f (2) =…

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Q: Using f'(x) = instantaneous. rate of change Tim h→0. f(x+h)-f(x). h find f'(x) when f(x) = -4x² - 6x…

A: This question can be solved as per the concept given in the question

Q: f(x) = tanh(6x) then f'(x) =

A: