11. 2008 BC #92 Lety be the function with first derivative defined by f'(z) = sin2) for 0 sxs 2. At what value of x does attain its maximum value on the closed interval 0 s xS27 (A) 0 (B) 1.162 (C) 1.465 (D) 1.845 (E) 2

Q: . Suppose you are writing an exam and you cannot remember whether the derivative of arcsin(x) 1 1…

A:

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

A:

Q: Use the clerivative rules to tind the deriVative of y. y=(x² + y> x²? (x-1)s y= (4x-1)3 2x+)

A:

Q: Yk+1 = f(a) + f^(a)(uk)", (2.143) and 1 Uk+1 = n! (2.144) This last equation has the solution Ant Uk…

A: In equation (2.150) we are equating the powers of t from LHS and RHS. First consider the term tn,…

Q: If f (-4) = 0 and f "(-4) = 6, what can you say about f? Step 1 The Second Derivative Test says that…

A: f'(-4) = 0 , f'(x0) = 0 f''(-4) = 6 , f''(x0) > 0

Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: find f'la) f(x)%3D(X

A: The given function is: f(x)=x-1x2

Q: If the derivative of f is given by f'(x) =e* - 3x , at which of the following values of x does f…

A: Topic- application of derivatives

Q: Pregunta 3 If f and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) =…

A:

Q: By looking at the first derivative, decide which of the curves in the figure below could NOT be the…

A: The given function fx=x3-9x2+24x+1 for x≥0. Using the derivative to decide the graph that is not a…

Q: 9 Find the derivative of ƒ (w) = w 10 +5w. What is the domain of f' (w)?

A: The function is given by fw = w910+5w To determine: The expression of the derivative of the function…

Q: Show that f'(z) and its derivative f"(z) exist in C when f(2)=e-¹e-iy

A:

Q: Find and interpret f'( – 2) and f''(– 2). 3 f(x) =

A:

Q: Suppose the derivative of f is f'(x) = (x + 1)*(x - 2)*(z- 3). On what interval is f increasing?…

A: A function f(x) is said to be increasing in an interval of it's derivative is positive in that…

Q: Find (f-')'(@). 3 f(x) = x + x < 0, a = - 4 (f-1)'( – 4) = Preview

A: The given function is f(x)=x+3x and a=-4

Q: y = (2x2 + cotx)³ P a. y' = 3(2x² + cot(x))² (4x – csc²(x O b. y' = 3(2x2 + cot(x))² (4x – cot?(x) P…

A: Given query is to find the derivative of the expression.

Q: 88. f'(x) for f(x) = (x* + x² + 1)(x² – 1)

A:

Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

A:

Q: Calculate the derivative. 5t ƒ"(1),_ƒ(1) f(t) = 1+1 (Give an exact answer. Use symbolic notation and…

A: Given equation, ft=5tt+1 Using differentiation by quotient rule, ddxuv=vdudx-udvdxv2 and dxndx=nxn-1…

Q: 7x Let f (x) : Then the derivative of f is %3D 1 + 5* f'(x) = A(1 + 5*) – Bx(5*) In C, where (1 +…

A:

Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = -3, find h'(2) for h(x) = f(x) - g(x) a…

A: Take the derivative both sides and substitute the given valued.

Q: The figure below shows the graph of f', the derivative of f, on the interval [-5, 4]. The function f…

A: The figure given shiws the graph of , the derivative of  on the interval .The function  is…

Q: 4. f(x) = 5. 6. (X M 2x + 1)³ (x²-2) 10 100 ln(x+3), f(x) = (x) = { 4x² - 1, sin(xy) = x² + y³ if x…

A:

Q: Find the derivative of f(x) = xe-2x O (E) None of these O f'(x) = x²e-22 re (-2) O f'(x) = 2x²e-2r O…

A:

Q: Use the graph of f' shown in the figure below to answer the following questions. (d) Select the…

A: This question is related to maxima and minima, we will solve it using given information.

Q: Find the derivative of f (x) = 4(8x + 3)5.

A:

Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: Find the second derivative of the function f(t)= t³sect. Of"(t)= t³sect(20+tsect+10ttant+ftan²t)…

A: