Given function G(x)= 3√2t² - 2 dt. Which V one of the following is true? A) G(3)

Q: A table of values for f, g, f, and g' is given. F(x) g(x) g(x) X -8 -7 -6 -8 -2 -7 -7 (a) If h(x) =…

A:

Q: 2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x…

A:

Q: Q1: In Leibnitz theorem, If f and g are functions of a variable x, then nth derivative of (f.g) can…

A:

Q: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

A: Given f(x)=-3x+1x-3

Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

A:

Q: Find a function f(x) such that f'(x) = 9x² +2 and f(0) = 1 f(x) =

A:

Q: Find f'(x) and simplify. X X-19 f(x) = Which of the following shows the correct application of the…

A: Given that       f(x) = x/(x-19)

Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

A:

Q: B) If fx) =-3x² +13 and g(x) =x'+8r-2; find the following. i) (g+f)(x) ii) Ax) - glr) C) 1) If f(x)…

A:

Q: Please help!

A: Recall the quotient rule for derivative:

Q: x3 +x2 3 Prove that if f (x) then f"(x) = – x² Find g'(x) and g"(x) if g(x) = (2x – 3)² (x + 4)³. 2…

A: Ans (1). Given that, f(x) = x3+x2-12x2 f(x) = x + 1 - 12x2 now differentiate the function, f'(x) = 1…

Q: Determine whether the functionf is one-to-one by examining the sign of f' (x). (a)ƒ(x) = x³ + 9x2 –…

A:

Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

A:

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: If point P (4,-3) is on f(x) and if g(x-2) = -3f(1-x) -5 , then determine the point P' on g(x).

A:

Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: f(x) = In (1+x³)

A:

Q: The function f(r) = In(xª + 4x² + 3) is decreasing on Question 4. the interval(s) a) (0, 0) b)…

A: Given function is fx=lnx4+4x2+3. We have to find the decreasing interval. Decreasing function: Let…

Q: 1) (a) If f is one-to-one and f(-15) = 2, then f '(2) : and (f(-15)) is one-to-one and g(3) 7, then…

A: Given function f is one-to-one so f has only one image in the range in other words there will not be…

Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: 3 5. If f(x) = and g(x) = 4*, find: X-4 a) f-¹(g(x)) b) the domain and range of f-¹(g(x))

A:

Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

Q: Let f(x) ƒ'(x) = ƒ'(3) = = √2x² + 4x + 3

A:

Q: Compute f(5) (e) forthe function f(x) = x³.In(x+)

A: f(x)=x3.ln(x4)f(x)=4x3ln(x)Differentiatef'(x)=4x2+3x2ln(x)f'(x)=4x2+12x2ln(x)Differentiatef''(x)=8x+…