Describe the x-values at which f is differentiable x² - 5, f(x) 15-x, 2' 5 – x, x > 0

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Q: verify mean value theorem for the function f(x)=4x3 over ihe interval [0,2 ]?

A: verify mean value theorem for the function f(x)=4x3 over ihe interval [0,2 ]

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A: Approach: Without wasting any time, take the derivative of the original function. Find critical…

Q: Find the intervals of monotonicity of the function f(x)=x+sinx.

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Q: Find the absolute extremum point(s) of f(x) = e' -Cos x on [-골, T), E any.

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Q: What is the total change of f(x) if f'(x)= sin(x) from [0, π]? A/

A: Answer: As per guidelines , we can do 1 question at one time , so please post other question…

Q: Why is the function f(x)= cotx not differentiable on the interval [0, pi] ?

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Q: Find all points on the graph of the function f(x) = 2 cos(x) + cos2(x) at which the tangent line is…

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Q: Find Taylor s Sen'ey fer ci) f() = Sin (x) about x= | f (x) = los (x) about f(x) = about x=1

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Q: H(x) = L, [At) +A-1) ]dt

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Q: Q: Show that the function f(x)=- x sin ,X =0 is continuous at x = 0.

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Q: Where is the function defined by f(x) = In (x) increasing? Where is f(x) decreasing? Where is the…

A: Given a function: f(x)= ln(x) and the function is defined in the domain x∈(0, ∞)Then, f'(x)=1x

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A: Then we can extend the definition of the function at that point to make it continuous there.

Q: Use the Second Derivative Test to find all relative extrema. (a) h (x) = x - 2 cos x, [0, 4π]

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Q: Consider the function f(x)f(x) whose second derivative is f''(x)=4x+3sin(x)f′′(x)=4x+3sin(x). If…

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

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Q: Find the absolute extrema of the function on the closed interval. TEX y = tan 16 ), [0, 4] minimum…

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Q: Find the x-values at which f is differentiable. (Enter your answer using interval notation.)

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Q: Find the x-value of the extrema by using the Second Derivative Test. Justify your answer. f(x) =…

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Q: Find the relative extrema (if any) of the function f(x) = sin 2x ; over the interval (0, π).

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Q: determine whether the piecewise-defined function is differentiable at x = 0.

A: Given f(x)=2x+tanx, x≥0           x2   , x<0

Q: Find a nonzero value for the constant k that makes th tan(kx) x 0 Continuous at x = 0.

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Q: Find the exact location of all the relative and absolute extrema of the function. f(x) = 2x – 2…

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Q: Differentiate the function. f(x) = sin(x) In(3x) sin (x) f '(x) + cos (x) In (3x)

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Q: Find a positive value for the constant "u" that makes tan Sur x<0 f(x) = continuous at x= 0. 2x +…

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Q: 5 f(x) %D sin x

A: Given  f(x) = 5sin x We have to check the continuity of the function on the interval [0, 2π].

Q: Describe the x-values at which fis differentiable. (Enter your answer using interval notation.) F(x)…

A: Function f is differentiable at x=a if and only if f'(a) exists.Given that f(x) = x+2 + 2first find…

Q: find the most general ntiderivative f(x) = 4 sec2(x) + 3 sec x tan x

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Q: Vx + y + 1 f(x, y) ,æ In (y² – x) х — 1 -

A: Given: fx,y=x+y+1x-1,xlny2-x A function f(x,y)=Mx,y,Nx,y is said to be continuous on the points…

Q: 3. What are is the absolute maximum of f (x) = sin(x) cos(x) on the interval [0, n]?

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Q: (i) Consider the function such that f(x) = 2x if 0SxS1 and f(x) = x-1 if x> 1. Is f continuous over…

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Q: Show that the function f(z)=sin x coshy+I cosx sinh y  is continuous as well as analytic every where

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