If a(x) is an integrating factor for y' + A(x)y = B(x), then a'(x) is equal to: Ο α(x)A(x) Ο α(x)Β(x) O a(x)A'(x) B(x)

Q: If f(x) = [ sin(x) = ['(x) 6 3+ t² dt and g(y) = f(x) dx, find g (7). 6

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Q: 4. Let f(x) = e3h(x) and g(x) = h(e3"). Find f'(7) and g'(2) given that h(7) = 2, h'(7) = 4, h'(e) =…

A: We have to find

Q: . Use logarithmic differentiation to find y'(0) if y = Vcos3 r V5+

A:

Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: y''(t)+5y'(t)+4y(t)=u(t) u(t)=2e-2t , y(0)=0 ,y'(0)=0 Y(s)=?

A: The solution is given as

Q: f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = −1, g(1) = −2,…

A: Product rule:

Q: find y(x) for x2y'-2xy=3x with y(1)=3

A: Given,         x2y'-2xy=3x  with y(1)=3

Q: x²+2x=1 then f'(1) is Let f(x) = 2x3+1

A: we have given f(x). And we have to find f'(1)

Q: 15) Let f(x) = f In (t² – 5)dt. Find f'(x) and then also find f"(x).

A:

Q: Do not use technology. Consider the following table. (a) If h(x) = h'(2) f(x) g(x) X 2 5 f(x) f'(x)…

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Q: a) If F(x) = f(g(x)), where f(−1) = 9, f '(−1) = 5, f '(1) = 3, g(1) = −1, and g'(1) = 8, find F…

A: Note to student :  This question have 4 sub questions. As per our Bartleby Guidelines, we are only…

Q: If two functions f(x) = x2 - x and g(x) = x3- x2 +x 1 combine to form h(x), where h(x) f(x) find the…

A: Find your answer below

Q: et f (x), g (x), h (x) be differentiable functions. Suppose g(x) is invertible. iven that f (2) = -,…

A: Given query is to find the derivative if the expression.

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: GivenF(x) = h(f(g(x))), g(1) = 2, g′(1) = 3, f(2) = 4, h'(4) = 1 and f'(2) = 6, findF′(1)

A:

Q: For the equation x’(t)+xcost = g(t), What is the integrating factor?

A: The integrating factor for given differential equation is

Q: Suppose f(2) = 4, f' (2) = 5, f(8) = 8, f' (8) = 2, g(2) = 4, g' (2) = -6, | dH and H(x) = f(x² +…

A: Topic :- Derivative

Q: The general solution of 2y" +8y' = –6y can be written as y(t) = C1e"it + C2e"2t, |ri| < |r2]. where…

A:

Q: Let r(x) = f(g(h(x))), r'(1) = where h(1) 2, g(2) = 3, h'(1) = 4, g'(2) = 5, and f '(3) = 6. Find…

A:

Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: Consider the following function. = 2 e(x2 + 5)3 y = Let f(u) = 2e". Find g(x) such that y = f(g(x)).…

A: Given function is

Q: Let r(x) = f(g(h(x))), where h(1) = 2, g(2) = 3, h'(1) = 5, g'(2) = 3, and f(3) = 6. Find r'(1).…

A:

Q: 1. If h(x) = (f(x))² – (g(x))² , f' (x) = -g(x) and g' (x) = f(x), then h'(x) = (a) 0 (b) –4f(x).…

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Q: By direct differentiation of x(t) = eAtxo + eA(t-o) Bu(o)do show that ¿(t) = Ax(t) + Bu(t), x(0) =…

A: The differentiation of a definite integral can be obtained by using the Chain Rule following…

Q: a) If f(x), g(x) and h(x) have derivatives when asxsb. Show that there is a value c of x in (a,b)…

A: Consider a function f(x) such that (i) If f'x exists for every point in (a,b)  (ii) fa=fb Then there…

Q: Consider the following. 1 - 2x² x42x² + 3 Let u(x) = 1 - 2x² and v(x) = x² − 2x² + 3. Find each…

A: We need to find derivative.