√x² +5 X + 2] 2x² - 5x + 3 |1x| f(x)=[-2x if x < 0, if 0 ≤ x ≤ 1, if x > 1.

Q: Use the First Derivative Test to find the relative extrema of ƒ(x)=· sin x on (0,27).

A: The given function is- fx=x2-sinx  Differentiating f(x) w.r.t x- f'x=12-cosx Put f'x=0,…

Q: a) An engineering problem is modelled by the formulae below. If the distance travelled by some…

A: Given integration is I=∫0πsin(x)dx Here f(x)=sinx Number of subinterval is n=10 Then step size is…

Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Show that weather the functions are analytic or not, and find their derivative: (a) (b) cos z 2. ce)…

A: As the question contains multiple sub-parts, the first three sub-parts are solved as per the policy.

Q: se show all No work, n redits. 1) Use the definition of the Derivative of a Function at a Point to…

A:

Q: Use the limit DEFINITION OF A DERIVATIVE to find the derivative of the function. 16) f(x) = Vx + 5…

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=x+5.

Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate In(1.04).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Is there anything special about the derivative of an even differentiable function of x? Give reasons…

A: The derivative of an even differentiable function is odd.

Q: 3. Express the derivative of f (x) = Vx as a limit of the difference quotient ("h → 0")

A:

Q: Is there anything special about the derivative of an odd differentiable function of x? Give reasons…

A: First of all, assume the function f (x).Then use the property of odd function to find f (x).

Q: 55,

A: Question 55. The function is given as  f(x)=2-3x. Use the definition of the derivative.

Q: 2, Fand tue 2nd derivative of ach fund44 on, a. fax)= I こ。 b. fa)=-3x+5x-2 d. fd = %3D

A: As per our guidelines I am solving only first question with first three parts. Please repost other…

Q: Estimate f(5.03) for f as in the figure. y=f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

A:

Q: I. Use the definition of the derivative f'(x) = ļim : following functions. Show your step by step…

A: Given that f(x)=x232x3+5 The formula to find the derivative is f'(x)=f(x+h)-f(x)h So, substituting…

Q: 33. Let f be a function with derivative given by ƒ'(x) = x³ − 5x² + e*. On which of the following…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…