f'(x)= 3cos(x)+5sin(x), f(0) = 9 a. f(x)= – 3sin(x)– 4cos(x)+7 O b. f(x)=3sin(x)+4cos(x)+11 O c. f(x)= 3sin(x)-5cos(x)+14 d. f(x)= 3sin(3x)+4cos(4x)+7 O e. f(x)= sin(x)+cos(x)+7 С. е.

Q: A table of values for f, g, f', and g' is given. g(x) 2 8 2 Xx 1 2 3 f(x) 3 1 7 (a) If h(x) =…

A:

Q: f(x) = +x* – x' x² + 2x – 1 4 - - -

A: Given: fx=14x4-23x3-12x2+2x-1

Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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

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Q: Let F(x) = f(f(x)) and G(x) = (F(x)). You also know that f(8) = 6, f(6) = 3, f'(6) = 14, f'(8) = 3…

A: F(x) = f(f(x))F'(x) = dF(x)dx = df(f(x))dxF'(x) = f'(f(x))f'(x)F'(8)=f'(f(8))f'(8)        =…

Q: If ƒ(x) = 3x√x + ƒ'(9) = x²√x then ←

A: f(x)=3xx+2x2xwe know  ax×ay=ax+yd dx(xn)nxn-1

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: Show that F(x) = 4x² + 6x +5 is anti-derivatives of f(x) = 8x + 6

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Q: QUESTION 2 Find the general solution, in terms of real functions only, of x' = 3x + 4y y' = -0.5x +…

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Q: If f(x) = x² + cos(x), what is f" (x)?

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Q: Find f(x)

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Q: If f(x)=(x-2)(2x + 1)6, th en what is f'(O) ?

A: We will use the product rule and chain rule to find f'(x)

Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

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Q: If x = e*-Y then is equal to A) B) log z (1+log z)* C)

A: solution:-xy=ex-ytake log both sideslnxy=lnex-yylnx=x-ydifferentiate both sides w.r.t…

Q: Find f if f'(x) = 2 + cos(x), ƒ(0) = 10, ƒ(π/2) = 6. 2 f(x) = x² − cos(x) – (n - + - (x + 10 ) x +…

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Q: f(3) = 5, g(3) = -4, f'(3) = -2, g'(3) = 7, f'(5) = 3, g'(5) = 10 a) If h(x) = f(x)g(x), find h'(3).…

A: topic - functions and derivatives

Q: Let f(x) = f(-1) = = f(-5) = f(-6) = 8x - 2, -x², X ≤ -5 X > -5' Find f(-1), f(-5), and f(-6).

A: Solve the given function

Q: (2/x+1)(x– 1) Find the f'(x) of the function f(x) = x+3

A: Given, f(x) = 2x+1x-1x+3 f(x) = 2x32-2x12+x-1x+3 We know that ddxxn = nxn-1  and quotient rule of…

Q: If f is a differentiable function, find an expression for the derivative of each of the following…

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Q: Find k'(x) if k(x) = ex (-1/3 201¹/12 1 -1 (2-¹) १४

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Q: Find f'(x) and simplify. X f(x) = x-6

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Q: 2x+3 Find the domain of the function H(x)=- x' - 4x %3D

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