Differentiate each of the following functions with respect to x. 13. f(x) = sinh(In x) 14. f(x) = In(tanhx) 15. f(x) = tanh 3x

Q: Find the indicated nth derivative of the following: 8. 25th derivative of y = sinh8x ans. y25) = 825…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 2. find the high er order derivative of the given funcion witch whi ch Equal to 2ero f (x) = = x°-…

A: If we have a function f(ax) then the derivative of the function will be,     Here it is given that,

Q: Differentiate the following function.   y = ex ln x

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Q: Differentiate the following function.   y = ln(x2 + ex)

A: Given function is y=lnx2+ex. To differentiate the function. Solution: Power rule of differentiation…

Q: Find the approximate value of derivative f′(0) with the step size h for the following function by…

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Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: Differentiate the following functions in derivative and differential forms: f,(x) = Ax f,(x) = In x…

A: For f1(x)=Ax ⇒f'1(x)=Adxdx⇒f'1(x)=A Sketch of f1(x)=Ax limx→∞A=A

Q: 9. Suppose for sume funchion f we have its derivative, f'x) = e*sin(x), on the %3D interval o< x<…

A: We can use application of derivative in order to solve the given problem.

Q: 1) Find dy/dr by implicit differentiation. tan n'(xy"+y)= x

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Q: Differentiate the following functions: S(x)= sinh* (v7x +1 tanh " (x* +2) +1) tanh" (x* +2) 3 a) b)…

A: Note    We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The second derivative for the following function at x = 2 f(x) = v2x + is O 1 O 1/4 O 1/2 O 3/4

A: Use the basis concept of integration and derivative than simplify.

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

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Q: Differentiate the following functions. Show your complete solution and box your final answers. 6. y…

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Q: ) f(t) = t2-2

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Q: Find a nonzero value for the constant k that makes the function tan(kx) f(x) = 3 3x + 2k2,…

A: Given: f(x)=tan(kx)x,   x&lt;03x+2k2,   x≥0 A function f(x) is continuous at x=a, if limx→a-f(x) =…

Q: Find of the following by implicit differentiation. Show solution. dx y sin x =x2 – 2y • sin x+ sin y…

A: This question is related to derivative.

Q: y = e*In(sinh x)

A: See the details solution in below

Q: Differentiate the following function.   y = ln(ex2/x)

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Q: х+1 3.) y = х-2

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Q: Differentiate the following function.   y = ln(ex + 3e-x)

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Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: B. Eind y' by implicit differentiation. Lesinh x+ Iny cosh x = tanh(x - y)

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

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Q: Find a nonzero value for the constant k that makes the function tan(kx) x < 0 f(x) = Зх + 2k?, x 2 0…

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Q: For x > 0, find f'(x) where f(x) = x*¯+3) via logarithmic differentiation. Show all ur work.

A: Topic:- application of derivatives

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: h) f(x) = ln (xe³z)

A: We will use the chain rule of differentiation and the product rule of differentiation to…

Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: 4. Find the second derivative of each of the following and determine based on your results if the…

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Q: Differentiate each of the following functions with respect to x. 4. y = sinh(ln x) 5. y = sech (1…

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Q: 2.) f(x) = (x5 – 2x³ + 1) 3

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Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = er+1) 3- xy +x*y = 3 at x = 1

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Find the linearizationsof the following functions at x = 0. ln (1 + x)

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Q: What is the first derivative of s(r) = log, sin z 712+8z+2 Provide your answer below: s'(x) =]

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Q: 3. Calculate the derivative of the following functions. DO NOT SIMPLIFY a. f(x) = tan (In(x) +x² –…

A: Trigonometris identities d/dx(tanx)=sec2x d/dx(in(x))=1/x d/dx(xn)=nxn-1 d/dx(sinh(x))=coshx…

Q: 1. Find for differentiate each of the following functions. dy хр a) (In(coshx) sinh x) g) y = - b) y…

A: Given: a)lncoshx3c)y+4coshx2=exsin-1(2x)g)y=sinhxex

Q: C) use implicit nind ay differentiation to dn for 22 (Osh (y) - In (tanh 2) = y2 %3D

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Q: 5) Use the tangent line at x = 9 to approximate the value of the function f(x)= Vx at x= 8.8.

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Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: 9. y =cosx nth derivative and n is divisble by 4  it means n is even number 4,8,12...ny so lets…

Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x+1) 3- xy + x²y 3 at x = 1

A: Here, We need to find the derivative of the given functions. To solve these questions, we need chain…

Q: Find the derivative of the following exponential and logarithmic functions: (a) (i) ecosx-sinx (ii)…

A: Differenciate with respect to x        As per our guidelines we are supposed to answer only first…

Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (xstnx…

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Q: Differentiate the following function:R=4*ln*qEnter the derivative here:

A: Calculation:

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not…

A: f(x)=cosπx2

Q: e) The function f(x) = log(x)log(x) with x %3D Jse fzero to find a zero of its derivative. What is…

A: The given function is f(x)=log(x)log(x); with x≥1

Q: d cos 2x – x³ dx 3+ tanh x

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Q: 3. Evaluate the following derivatives: a) y = In[sinh(2x)] b) f(t) = tanh-1 VE

A: Derivative of the inverse hyperbolic function formula: -  ddx(sinhx)=coshx ddxtanh1x=12ln1+x1-x…

Q: 1.) f(x) = (2x + 1)(3x – 2)

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