What is the second derivative of ecON (), , Cosh (A sinh?(x)e cosh (x) + cosh2(x)ecosh («) B sinh (x)e Cosh (x ) + cosh²(x)e cosh (x) sinh2 (x)e Cosh (x) + cosh (x)ecosh (x) D sinh (x)e cosh (x) + cosh(x)ecosh(x)

Q: Derivative of In |x| Differentiate In x, for x > 0, and differentiate In(-x), for x < 0, to conclude…

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Q: derivative of arctan(2/x^2)

A: we have to find the derivative of the function and we will find it by the chain rule of…

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: Using Leibnitz theorem, the nth derivative of xy, is

A: We have to find nth derivative of xy1 using Leibnitz theorem.

Q: The method of u-substitution is the integral analog of the chain rule of derivatives and the method…

A: Let say we have two functions f(x) &amp; g(x)Now combine the function f(g(x))Hence, the derivative…

Q: Find the derivative of the given function. Infsech(x) + tanh(x)) 1) sechx+tanhr sinhx+1 sechx-tanhx…

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Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

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Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: Describe the First Derivative Theorem for Local Extreme Values?

A: Describe the First Derivative Theorem for Local Extreme Values?

Q: 3. Why first derivative is zero at local maximum and local minimum of function in an open interval?

A: Given, Why the first derivative is zero at the local maximum and a local minimum of function in an…

Q: 1950, a seed was planted same as the year as Jilian was born. When she celebrated her debut, the…

A: Given Information - Height of the tree when Jilian was of 1 year = 5m Height of the tree when Jilian…

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: why first derivative is zero at local maximum and local minimum of function in an open interval

A: The first derivative is zero at local maximum and local minimum of function in an open interval…

Q: What is the First Derivative Test for Local Extreme Values? Give examples of how it is applied.

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Q: tion of the tangent line to f(x) = 4 %3D

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Q: ) Prove that tanh'x = tn/itx, X€ (-1,1) i) , Sinh 'x and tanh'x Find the derivative of coch'x

A: (1). We have to prove that:   tanh-1x=12ln1+x1-x

Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: Find the approximate derivative for f(x) = cos x on the interval [-7, 1] using forward difference…

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Q: 6. Find 39th derivative of f(x) = sinh(x). A. sinh(x) B. cosh(x) C. – sinh(x) D. - cosh(x) None of…

A: Derivative of sinh(x) is Cosh(x) and  Derivative of Cosh(x) is Sinh(x).

Q: Nth Derivative Of x3 ln(x) Problem Based On Leibnitz Theorem

A: To Determine: find Nth derivative using Leibnitz theorem. Given: we have x3logx Explanation: we have…

Q: In(cos(x)) cos(In(x)) Find the derivative of

A: Quotient Rule of differentiation: ddxuv=vdudx-udvdxv2

Q: Fin derivative of the funclions. y=Log

A: The given function is: y=log3xx-12

Q: Find the derivative of y = tan 1 1-x -1 + sec Va +1

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Q: 3 b) Determine the derivative of - from First Principle. (5)

A: The derivative from first principle is given below. Hope this helps!

Q: how do limits relate to derivatives and integrals? also give examples of when they are used to…

A: Limit of a function is defined as , Let I be an open interval containing x0∈ℝ. Let f : I→ℝ . Then…

Q: This is determined by the largest derivative, or the highest level of differentiation, present in a…

A: The highest level of differentiation present in a differential equation is known as "order" of the…

Q: (5) Match the graphs of the functions to the graphs of their second derivatives. Original Functions…

A: Given: a function their derivative.

Q: This is determined by the largest derivative, or the highest level of differentiation, present in a…

A: We have to check

Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

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Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving

Q: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: sinh x O Compute the derivative of f(x) = (cosh x)

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Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule

Q: The little details of Fermat's theorem, the first derivative test, and the second derivative test…

A: problem: (d) Give an example of a function f such that f3 is a local maximum and f'3 is undefined.…

Q: verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1…

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Q: Apply the quotient rule and the derivative of cosh(x) to compute the derivative of the given…

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Q: On which open interval is the derivative positive/ negative .

A: Given:

Q: Find the general anti-derivative of f(x) = 3. + Vx on a continuous interval. Please select file(s)…

A: topic - integration

Q: Determine the second derivative of f (x)=x²e* at x =-2 with a step-size of h=0.50 using Central…

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Q: Please kindly use chain rule on the below to find the derivative and label all parts.  h(x)= cos…

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Q: If a function is increasing everywhere (and it has a derivative), then it's derivative function is…

A: explanation of above question is given below,

Q: Find the derivative of y 3 sin x +5 cos x A. 3 cos x +5 sin x C. 5 cos x +3 sin x B. 3 cos x-5 sin x…

A: Differentiate wrt x

Q: What is something interesting about integrationa and derivatives? Why is it interesting?

A: Given What is something interesting about integration and derivatives? Why is it interesting?

Q: Find the first derivative of y = (In x)"

A: The differentiation of nested form of function is calculated using the chain rule of…

Q: ind the 9th derivative of f(z)=exp((-1 + isqrt 3)z) at z=0.

A: Given f(z)=e(-1+3)z Differentiating w.r.t 'z' f'(z)=e(-1+3)z(-1+i3) f''(z)=e(-1+3)z(-1+i3)2…

Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:

A: Use l hospital rule

Q: Calculate the derivative. y = In (tanh (5x)) (Express numbers in exact form. Use symbolic notation…

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Q: Explain theorem 11—Second Derivative Test for Local Extreme Values?

A: Second Derivative Test for Local Extreme Values: Let f be a function defined on an interval I and…