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

Q: What is the derivative of f(x) = 26 (12.1)* + 8 (0.56)* +1 ex with respect to x? f '(x) =

A: topic  -  derivative of exponential function

Q: use definition to show that the function f(x)= |x|^3 is differentiable at 0, with derivative equal…

A: We have to use definition of differentiable:

Q: Compute the derivative of F(x) if F(x) = 9t dt F'(x) =

A: To find the derivative of integral, one have to use the fundamental law of calculus and substitute…

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

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Q: Verify Rolle's theorem for f(x) = x* – 4x+8 over the interval [0, 2].

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Q: Find the derivatives of the functions in Exercis

A: We have, f(x)=7+x sec x First, we write the above function in power form. fx=7+x sec x1/2

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: Find the derivative of the algebraic function.

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

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Q: Find the derivative by using the definition f(x + h) – f(x) f'(x) = lim where f(x) = v4x +7 h+0

A: given                  f(x)=4x+7

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x2…

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Q: Find the derivative of the function f(x)=(x2+1)^3(3x+4)^4 at x=−1

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Q: Find the derivative

A: The first derivative of f(x) is represented byf'(x) and the second derivative is represented by…

Q: if f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable at (2,F(2))   true…

A: Given statement is If f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable…

Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

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

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Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

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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: 2. Use the definition of the derivative to find f'(x) and f"(x). a) f(x) = x? %3D

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Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

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) = (x² + 3x)e*. Determine the value of the third derivative of f(x) for x = 0.

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Q: Let y = f(x) = x² +1, evaluate the derivative of the inverse function x = f-l(y) at y = 2.

A: Given a function, y=f(x)=x2+1 To find the derivative of the inverse function of f(x).

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: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

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Q: Compute the derivative function f'(x) algebraically. f(x) = 8x – 5 %3D f'(x) =

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

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: Find the derivative of the function. F(x) = In(4 – x®) %3D f'(x) %D

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Q: take the derivative. f(x) = 4cos x + Vx %3D

A: Consider the function: fx=4cos x+x. Take the derivative applying ax+bx'=a'x+b'x. Therefore, f'x=4cos…

Q: Find the linearization of the function f(x)=ln(2x+3) at x=-1

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Q: Determine the largest interval on which the function f(x) = (x + 1) %3D is concave upward.

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Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

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Q: Find an analytic function whose real part is e-x(x sin y-y cos y )

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Q: Find the derivative of the function. 2 f(x) = 3F + 3cos x V X

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Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

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

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

A: to determine if the function is differentiable we have to check if it's differentiation is equal…

Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=4f(0)=4 and…

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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: Find ☆ f'(x) using using derivative rules. f(x) =Dx+ 2 to 11

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Q: Is the function F(x) as given is constant, increasing, or decreasing on the interval (0, ∞)?…

A: Fx=∫x2x1t dt⇒Fx=lntx2x⇒Fx=ln2x-lnx⇒Fx=ln2xx          ∵lnx-lny=lnxy⇒Fx=ln2

Q: Find the derivative of the function. f(x) = /2 + V1+ Va f (x) = ||

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Q: defines 2 as y. y- cos (3x2) = 5 a function of x and • differentiate implicity to find az ду

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Q: Find the derivative of the function and evaluate f'(x) at the given value of x. f(x) = (Vx + 3x)(x72…

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