Show that f(x)= |x| is not differentiable at x = 0.

Q: Use the Second Fundamental Theorem of Calculus to find F′(x).

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Q: If the derivative of y = f(x) at x = 2 is equal to " (0 " then y = f(x) is not continuous at r = 2.…

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Q: Show that the function f(x) = exp(−|x|) is not differentiable at x = 0.

A: We have given function fx=e-x As we know the modulus function is not differentiable at x=0.…

Q: Is f(x)= Vx + 1 continuous at x == -1

A: Draw the graph and check continuty with help of limit of function.

Q: Use the second order derivative test to find local exterma of the function  f(x) =x3-9x2-48x+72 on…

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Q: the function f is not differentiable at x=0.

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Q: Find the derivative of the function f(x) = V (x² – 3)° at x = 5 at x = – 2. f'( – 2) = Preview

A: Given :    f(x) = x2-356    , x = -2

Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: Use the Second Fundamental Theorem of Calculus to find F'(x). F(x) = 1 + t3 dt

A: To find F'x Fx=∫0xt21+t3dt

Q: Use the second derivative test to identify any critical point and determine what each critical point…

A: Critical point: The point where the function fx, y is defined and its gradient is a zero vector or…

Q: If the derivative of y=f(x) does not exist at X = a then y f(x) is not continuous at X = A) True B)…

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Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: use graphical approximation methods to find the point(s) of intersction of f(x)=e^x and g(x)=x^6 to…

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Q: Define a function f : R² → R² by f 2.у 1. Show that f is differentiable on A = E R² |x > 0, y > 0}…

A: To show that the function f defined as below is differentiable on A and compute its derivative

Q: Let g (x) = f' (x) be a continuous function. If the derivative of the continuous function g (x)…

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Q: Let f be a differentiable function such that f(4) = 3 and f'(x) = -3x + 3. What is the approximation…

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Q: What does it mean for f to be differentiable at a ?

A: we have to define that what we mean by the f is differentiable at a.

Q: Suppose that flx) is a differentiable function and g(x)=(x+2)/f(x). If f(0)= 22 and f(0)=5, then…

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Q: Let f(x, y) = V xy. Find the derivative of f. af 1 ду 2

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Q: A) Consider the function f(x) whose second derivative is f"(x)=4x+3sin(x). If f(0)=4 and f'(0)=4,…

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Q: Is the function f(x)= x+|x|-1 differentiable at x=0.

A: Consider the given function:

Q: 95. Prove that the average rate of change of the linear function f(x) = −2x + 4 on any interval I is…

A: The average rate of change of a function f(x) over an interval [a,b] is given by f(b)-f(a)b-a. It is…

Q: . Explain why f (x) = sin (x² + 3r + 1) is a continuous function for all c eR.

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Q: Explain why the function ƒ(x) = sin (1/x) has no continuous extension to x = 0

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

Q: Show analytically that the function f is not differentiable at x = 0. Ax) = 2x+1 x>1

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Q: Prove that constant function is differentiable at ever x ER.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider a function f(x) = |x – 3|. a. Show that f (x) is not differentiable at 3. -

A: Given         f(x) =|x-3|

Q: Use the Second Fundamental Theorem of Calculus to find F′(x).

A: To find the derivative using fundamental theorem of calculus.

Q: Let y be a function of x and suppose y=In(x²+y²). What is the correct result for the derivative of y…

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Q: Let f(x) = V1+x. Estimate the change in f from x = 7 to x = 7.5 using linear approximation. %3D

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Q: Show that if the graph of a twice-differentiable function ƒ(x) has an inflection point at x = a,…

A: Find the reason why the tangents lines fit well at the inflation points

Q: Determine if f(x) is differentiable at x = 0 if

A: We will find out the required solution.

Q: Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + V1 -…

A: First calculate critical point at which either local maxima or local minima will occur by putting…

Q: Find the interval in which function f(x)=sin (log,x)+cos(log,x) is decreasing

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Q: C. Is the function define by g(x) = x² – sin x + 5 continuous at x = n?

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Q: How can you sometimes decide from examining ƒx and ƒy that a function ƒ(x, y) is differentiable?…

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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

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Q: Apply the first derivative test to indentify all relative extrema. (b) f(x)=x²-2+1 (c) f(x) = cos²…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Use the linearization of f(x) 1 at x = 4 to approximate f(4.3) . - f(x) =

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Q: Obtain the MSE of f(x) = ex.

A: MSE = Maclaurin Series Expansion f(x)=ex formula f(x)=∑k=0∞f(k)(0)k!xk

Q: Let be a differentiable function such that f(3)=2.345 and f'(x)= ln(x^2+1).What is the value of…

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Q: Let [x² + 1 _ if x 1 f(x) - Is f differentiable at 1?:

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Q: Show that f(x) := x/3, x e R, is not differentiable at x 0.

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Q: Find the length of the curve defined as: f (x) = 5x from x = 0 to x = 1

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Q: Suppose f is differentiable with f(0) = 0 and 0 0.

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Q: Find the values of a and b such that f is differentiable at x = 3

A: Given,            The function is fx=ax+bx≤32x1-1x>3To find : Find the values of a and b such…

Q: 34. Show that f(x) = Jã is not differentiable at x = 0.

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