A function f has f(5) = 20, f’(5) = 2, and f”(x)

Q: Let f'(x) = f(x) = = 4x √8 - 6x

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Q: Find f.   f ''(x) = (5/6)x5/6

A: Consider f''x = 56x56

Q: f'(c)=f(b)-f(a)/b-a .Use the Mean Value Theorem to find the number c for the function f(x)=x3-3x+2…

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Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x² - 6x² + 3 Find f"(-4) and…

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Q: Given that f(x)=35x, determine f'"(x)

A: Apply the expotential function rule for an arbitrary base. [a^x]'=ln(a).a^x.(x)'

Q: If F(x) = f(g(x)), where f(-3) = 5, f'(-3) = 2, f'(1) = 3, g(1) = -3, and g'(1) = 5, find F'(1).…

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Q: Find f. f"(x)  =-2  +12 x -12 x2   , f(0)   = 4 ,f'(0)  =12

A: Given ,f''x=-2+12x-12x2f0=4f'0=12

Q: Let f(x) be a one-to-one function such that f(2)=5 and f'(2)=-4.  Find f(-1)'(5)

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Q: If f(x) = 7+ Find f'(x). Find f'(x). 10/8 + 4 x²

A: Given that a function f (x) = 7+ 5/x + 4/x2.  And we find f'(x) and f"(x).

Q: "(x). "'(x). "(-9) and f"(7). = f(x) = x³ 3x² +7 mine whether the function f(x) is concave up or…

A: Topic:- derivatives and application of derivatives     Definition:- When the second derivative is…

Q: Find f'(x). f(x)=(x5+1)-3

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Q: Find f'(x) for f(x)= x3(x4+7)5

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Q: Find f. f ''(x) = x−2,    x > 0,    f(1) = 0,    f(7) = 0

A: I am going to solve the given problem by using some simple calculus to get the reqiuired result.

Q: Find f'(x) for f(x) = (x2 + 2)3

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Q: x2 Find f'(x) if f(x) = 5x – 3

A: As we know that: The Quotient rule: fg'=f'·g-g'·fg2 The Power rule: ddx(xn)=nxn-1 Given: f(x)=x25x-3

Q: Find f''(x) for the function. In x 8x f(x) = O A. O B. O C. O D. -7-2 Inx 9x3 - 3+2 Inx 8x3 In x 8x³…

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Q: Find f. f(x): = f"(x) = -2 + 30x - 12x², f(0) = 5, f'(0) = 12

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Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: find f'(x) for f(x)= (5x-2)3 (1-x3)4

A: It is given that the function is

Q: The functions f and g are differentiable and h(x) = f(g(x)). Use the information below to find…

A: We know that If h(x)=f(g(x)) then h'(x)=f'(g(x))g'(x)

Q: For the function, find the following. f(x) = x4 − 6x3 − 7x2 + 4x − 6 (a) f '(x) (b) f…

A: find the given derivative of the function f(x)

Q: Determine f '(x) for f (x)=(3x2+1)2

A: It is known that the chain rule is a formula for computing the derivative of the composition of two…

Q: find f'(x) for f(x)= (2x-1)4 (3-x5)4

A: f(x)= (2x-1)4 (3-x5)4Let (2x - 1) = u and (3-x5) = vHence, du/dx = 2 and dv/dx = -5x4Also, f = u4v4…

Q: Find and interpret f'(4) and f''(4) f(x) = 2/

A: f(x)=2x To find: f'(4) , f''(4)

Q: Find f'(x). f(x)=5x-4ex

A: f′(x)=5exe−1−4exExplanation:

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(7) = 0 f(x) =

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.