Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What is fxg?

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

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Q: f"(x) = 24x2 + 2x + 8, f(1) = 2, f'(1) = -2 f(x) =

A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

Q: Determine y' of y = V4x+3

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

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Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: rsin(r2) Let g(x) 1 and f(x) g(t) dt. Find f' (2). xª + 1

A: From the given information we can apply the fundamental theorem of calculus.

Q: EXAMPLE 6 Evaluate , y sin(xy) dA, where R = [1, 2] × [0, 7]. SOLUTION If we first integrate with…

A: ∫∫R y sin xydA=∫0π∫12y sin xydx dy                        =∫0π∫12y sin xydxdywhen we integrate…

Q: 3. Why can you not use the power rule to differentiate y = e*?

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Q: let hG) = f(x) %3D where f(-3) = 7, f'(-3)= - 9, g(-3) = -2 and gʻ(-3) = 1. What is b'(-3)? %3D %3D

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Q: For a Series RL circuit is described by the following differential equation: di Ri(t) + L * = V dt R…

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Q: Differentiate. y' = y = t² + 3 t4 - 2t² + 5 X

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Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: what does f'(m)= ?

A: We need to provide meaning of f'(m).

Q: Evaluate y' if y = vtan x

A: We solve the problem by doing the derivative using the formula.

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

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Q: Find the first derivative j 27 (x+2)³(2x+7y)² (y is a constant)

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Q: Differentiate. qx + r f(x) = Sx + t f '(x) = SX + t

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