: Find the critical Points of the following function fw = Sinx - Sinx- I OS XS2 7T |

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

Q: if f(x) is a continuous function at x = -6 * = 0, then a 1- cos4x x2 If f(x)= { a x = 0 r>0 16+Vx-4

A: a= 8.   See the attachment for the complete solution.

Q: Find Tn centered at x=8 for all n for the function f(x) = ex

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Q: If f(x) = In(tanh(2æ)), then f'(x) is %3D Select one: O a. coth(2a)sech (2r) O b. 2 coth(2a)sech…

A: Given: f(x) = ln(tanh(2x))…

Q: Determine the value of a such that f is differentiable at x = 1. for x <1 a sin(x-1)+6 for x21 S(x)…

A: given , f(x)=x+22-3      for x&lt;1asinx-1+6      for x≥1 we have to determine the value of "a" such…

Q: Find all critical points of the following function. f(x.y) = 8xy + 2x* + 2y*

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Q: Find the derivative of the function #1) F(x) = In(2x+3)· (4x +7) tan(x) t +4 dt t2 +2 # 2) h(x)= |

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Q: Find the Wronskian for the set of functions.{e3x, sin 2x}

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Q: Answer the following questions about the functions whose derivativesare given:a. What are the…

A: Given: And

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: Obtain the derivative of any of the following functions: A) f(x) = 3cotg²3x B) f(x) = 6cos7(3x2 – 1)…

A: Answer

Q: Find the absolution extrema of f(x) = (In x)2 on [1, e].

A: We have to determine absolute extrema of girls question

Q: Let F(x) = sin 3t dt, please find F'(0)

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Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

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Q: Please identify the critical point,z, where the first derivative is equal to zero for the following…

A: Critical point

Q: Q5: Differentiate the following: a. f (x) = In(3x + 2)5 b.y = (2x* + 1)tanx c. f(x) = etan(2x)

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Q: Suppose f(x) = | sin(t?) dt. Find f'(x). x2

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Q: Find the maximum and minimum values of the function f(x) = x – sin x on [0, 27). %3D

A: The given function is: f(x)=x-sinx For maximum and minimum value, differentiate the function and…

Q: Find the derivative at the given point. f(x)= at x = 0 %3D x+1 O 1/4 O-1

A:

Q: Use the first derivative test to find the local extrema of the following function: f(x) = sin x –…

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Q: - Differentiate the function (find F'(x)) if F(x) = sin(t² + 1) dt

A: Apply Leibnize's. Rule

Q: If f(x) = Α) B C D tanx sec ³x 1 + e tanx 1+tan²x 1+ e tanx sec²x 1+1² 1+e' -dt, then f'(x) equals…

A: We have to find derivative of given integral.

Q: Q5: Differentiate the following: a. f(x) = In(3x + 2)5 %3! b. y = (2x* + 1)tanx c.f(x) = etan(2x)

A: Explanation of the answer is as follows

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: Write the equation of the tangent line to f(x) = + In(a²) - 4 at x = 1. O y = 3x - 6 Oy = 4x - 7 Oy…

A:

Q: Find the derivative of F (x) = S (t3 – t)° dt. O 5( – t)* (3t2 – 1) - O (2 - 2) O 5(x³ – 2)* O 3t2 –…

A:

Q: The limit of f(x) = sin(x) as x approaches t is O T/x n/2

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Q: Find the absolute extrema of the function on the closed interval.

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Q: The equation of tangent line of the function 36 x3 f(x) e7t dt 36 х at x=1 is Oy- V36 el764 (x-1)…

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Q: Find an equation of the tangent line to the graph of f(x) = | t cosh (t² – 1) dt tan-lt 1+In (x) at…

A:

Q: 2. Find the derivative of each of the following: (a) f(x)= 3" cos² (}x) %3D (b) h(x) = Vrd – 4x + 1…

A: (a) Consider the given function, fx=3xcos212x Here the objective is to find the derivative of the…

Q: 1. Show that function f(x)=D|x | is not differentiable at 0

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Find the dérivative of the function: f(x)=In(e^x-13x)

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Q: Answer the following questions about the functions whose derivativesare given:a. What are the…

A:

Q: Suppose that f (x) has a continuous derivative, сп/2 f(-1/2) = 0, f(T/2) = 1/4 and f (x) dx = 3.…

A: The method of substitution is a very significant method in evaluating definite integral. The…

Q: b) Show that the function f (x) = { * x² sin ! for x E (0, 1] for x = 0 is absolutely continuous on…

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Q: Let F(x) = | cos(3t – 1) dt. sin z 1. Find F(0). 2. Find F'(x).

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Q: Find F'(x). *sin(x) 8Vt dt F(x) = F'(x) =

A:

Q: Use the first derivatives test to find the local exterma of f(x) =x3-12x on R

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Q: Find F'(x). 2x F(x) = cos(t*) dt

A: If f(x) is continuous over an interval [a, b], and the function  F(x) = ∫au(x)f(t) dt then F'(x) =…

Q: Compute the derivative of g(x) = cos(t²) dt. O 42 sin(z*) O cos(x*) -42 sin(z*) O 4a cos(a) O -…

A:

Q: Linearize f(x) = 5 cos x about x = pi over 2. f(x) = -5x

A: linearization around x=a is given by :L(x)=f(a)+f'(a)(x-a)

Q: The function f(x)=|x|·sin(x) is differentiable at x=0.

A:

Q: Find the global minimum of the function f (x) 1 + x² on the interval (0, co0)

A: Given that f(x)= 1+x2.  And we find global minima on the interval (0, infinity).     Here i attached…

Q: 13. F(x) = sin t dt 20

A: We need to definite integral properties  also integral of sinx is -cosx

Q: Use the First Fundamental Theorem of Calculus to find F"(x) if = [*_ sinh√/1 +ť² dt. F(x) =

A:

Q: function, that is 0 everywhere except at t=0, is know as:

A:

Q: The derivative of the function f(x) = ecos(2x) + Vex is Select one: O a. sin(2x)ecos(2x) + 2 O b. 2…

A: From the given data: