Let f(x) = x² - 3 and g(x) = x³ - 2. 6g²(-1) +9(1) – f°(2). |3f(g(3)) + 11' |- 29(S(2)) 6g°(-1) + Note: F"(x) = (F(x))"

Q: y = x10 + x3. Find y5) (1)

A: Given,           y=x10+x-5

Q: Use the graph to а. state the absolute maximum and minimum b. local maximum and minimum values С.…

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Q: f(x) = zx²+ 2x+1, Find f (b)

A: f(x)=3x2+2x+1 , find f(6)

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A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: What is t′(x) if t(x)=80x5ex?

A: t(x)=80x5ex

Q: (a) y = x³+3* - 1 3√x + 3 csc (3). (b) y = a + bx² x4

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Q: Find f. f(x) = 3 f'(x) = √√√x³ + ³√√x + 5ex + sec² x, f(0) = 8 4

A:

Q: Can you calculate f(0) for the function f(x) = 2π2?

A: Answer is  f(0)=2π^2. Explanation is given below

Q: GIVEN: The function, f(x) = (2x+ 7a)(x – a)², where a>0 and a constant. Find f'(x) in FACTORED FORM…

A: This question is related to derivative.

Q: Recent studies seem to indicate the population of North America porcupine (Erethizon dorsatum)…

A: For the solution follow the next step.

Q: TT f(c)dc)+ =xtan"(x) 4

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Q: For f(x) = x? – 3x + 5, find f(2), f'(2), and f(3) – f(2). a. f(2) b. f'(2) = c. f(3) – f(2) =

A: Given that, f(x)=x2-3x+5

Q: For the given functions f(x) = 2x° and g(x) = - 2x +5, find (a) (fo g)(1), (b) (g o f)(- 1), (c) (f…

A: As per our guidelines only 3 sub parts can be solved,please find the answer for 3 sub-parts below :

Q: Let h(x)=−2x2+x+4x2+4x−1, what is h′(−5)?

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Q: Suppose Find the value of f(10). f(10) = _. d _ƒ(x) = 6x, f(1) = 8. dx

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Q: Find | [3f(x) – g(x)]dx : i if 6 f(x)dx 2 and g(x)dx = 30 %3D %3D

A: Given: I=∫163fx-gxdx And ∫16fxdx=2 ; ∫16gxdx=30 We know that; the sum rule: ∫fx±gxdx=∫fxdxdx±∫gxdx…

Q: IF f(x) = 13sin(x)-8e*. Calculate: df(x) dx =

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Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: Find (ho g)(x) for the indicated functions. h(x) = Vx+4, g(x) = x+3 (ho g)(x) =D

A: Given,          hx=x+4 , gx=5x+3

Q: Find the values of a and b such that a = b + [¹ f(x) dx − [*f(x) dx = f*f(x) dx. - 11

A: Given,

Q: Find f′(x).   f(x)=(0.3x+6)(0.6x−7)

A:

Q: [6f(x) – g(x)]dx = i if f(x)dx 5 and g(x)dx 10

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Q: Find f′​(x).   ​f(x)=5x−1         7x+9 f′​(x)=

A: The given function is fx=5x-17x+9 So, the value of f'(x)=df(x)dx Using the uv form of the…

Q: f(x)=9x/2x+4   f′(x)= f′(9)=

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Q: f(x) = 5/x2 + 9 at a = 4

A: