Differentiate f(w) = sinw + w²tan-1w

Q: If F(x)=sin(7-x5-13-x³ +5-x). Calculate dF(x) = dx

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Q: Where are the functions f1(x) = ∣sin x∣ and f2(x) = sin ∣x∣ differentiable?

A: We graph f1(x) = ∣sin x∣  using a graphing calculator. We see that, at x=nπ, there are cusps.…

Q: Vx t3 dt dx 'V2 t2-1 d limx¬

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Q: For the function f (x) = 5a- 7x +4r + 3 %3D a. Find f '(x) b. Find f" (x) c. Find f" (0) and f “ (2)…

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Q: If lim g(x) = 10 and lim h(x) = 28 then x5 x5 lim [2g(x)+ 5h(æ)] x5

A: Solution to the first question: Given,            limx→5g(x) = 10  and limx→5h(x) =28

Q: Differentiate. f'(x) = f(x) = ax + b cx + d

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Q: f(x) = cos (x – a -2).

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Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

Q: Find f"(x) for the function f (x): = x cOS X

A: The given function is fx=xcosxTo find f''(x)

Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

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Q: Solve t² sin wt using derivative of transform

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Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: F(x) = xe", find f () %3D

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Q: Let f (z) = (11z+ 10) (i – z). What is the real part of the derivative f' (1 + i)?

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