" Given what is the outside function f(g(x)) = cos x² and the inside function ? f(x) g(x) so that the Chain Rule can be applied to differentiate Reminder: f(g(x)) os x² = cos(x²) CO f(x) = x², g(x): = cos x O All of these will work

Q: Let f(x) = (sin(x))*. Find the value of (a) 1 (b) 2 (c) 2 (d) 2 (e) 0

A: The given function is fx=sinxx. To find the value of f'π2, first take the logarithmic of fx=sinxx on…

Q: If f (x) = cos(3x), then f' (-) is equal to

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Q: Find f(x).

A: Given,

Q: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

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Q: Let ƒ (x) = x³ – 5x² – 8 and let g be the inverse of f (i.e. g (x) = f -1 (x).

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Q: nd and simplify 2² x² (f(x) g(x)). O d² O −(ƒ (x) g(x)) = ƒ” (x) g(x)+ f (x) g″ (x) Hint 2² -(f(x)…

A: Given query is to find the double derivative.

Q: Find f'(x) and simplify. f(x)= x x+2 Which of the following shows the correct application of the…

A: F′(x)=(x+2)22​Explanation:If you have any questions let me know in comment box thankyou for your…

Q: Find f if f"(x) = 2+ cos(x), f(0) = 2, f(t/2) = -2.

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Q: I don't really understand the question below Given f(x) with f(1) = 2 and f′(1) = 5, find (a):…

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Q: If f(x) = cos(2x), then f"|

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

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Q: If f(x) = 2x cos ¹(x + 1) - √12-3x², find f'(x).

A: Introduction: Here use the derivative rules to solve the question.(1) Chain rule: (2) Power rule:

Q: Find f if f"(x) = 2 + cos(x), f(0) = -9, f(pi/2)=9 f(x) =

A: Solution of given question is followed by:

Q: f(x) = x' +x² +1 and g(x) = 4 – x²

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Q: the inverse function of f(x) = ax is x+c hat is the value of a + b + c? +C= f-¹(x)= 8x - 7 .-x+3'

A: Topic:- algebra and calculus

Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

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Q: F(s) = Le 4t cos(5t)}

A: We have to find  ℒe-4tcos5t Remember : ℒeatf(t)=Fs-a where  ℒf(t)=Fs

Q: Find f if f" (x) = 2 + cos(x), f(0) = -8, f(T/2) = 8. *(x) :

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that f(9) = 13, f(13) = 3, f'(13)=9, f'(9) = 7…

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Q: If f(x)= cos(4x) Plot the function from (x=0) to (x=180)

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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: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: f(5)(x)

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Q: Find f if f"(x) =2 + cos(x), f(0) = 10, f(t/2) = -5. f(x) = |

A: To find f if f"x=2+cosx, f0=10, fπ2=-5. Solution: We have, f"x=2+cosx Integrating both sides, we get…

Q: Find f if f"(x) = 2 + cos(x), f(0) = -10, f(x/2) = 4. %D %3D f(x) = iii

A: Recall: ∫xn dx= xn+1n+1+c; where c is an integration constant. ∫sinx dx= - cos(x)+c; where c is an…