Solve x"(1) + y'(1) = 3(1) 2r'(1) – x(1) + ='(1) - :(() = 0 x'(1) + 3x(1) + v'(1) 4v(t) + 3:(1) = 0 where x(0) = 0, r'(0) = 1, y(0) = 0, and :(0) = 0, find y(2). %3! %3D

Q: If f (0) = 3, f'(0) = –1, g(0) = –2, and g'(0) = 5, find h' (0) (a) h(x) = 2f(x) – 3g(x) (b) h(x) =…

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Q: Find g'(6) given that f(6) = -3, f'(6) = 4, and g(x)= g'(6) = 9x + 8 f(x) - (Round your answer to…

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Q: Use Exact, Then solve (1 = In(x) +)) = (1 – In(x))y`

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Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: 6 4 If f(x) = 4+ + I I find f'(x).

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Q: f(x) f (x) a (x) g' (x) 1 0 -4 -3 -2 2 -4 -3 -3 3 -4 4 5 14 4 6. 17 27 31 h(x) = xf(x)+g(2x – 5)…

A: to find h'(3)

Q: en h(x)= x³f(x) g² (x) XT) and f(1) = 1, f'(1) = -1,g'(-1) = 3,g(-1) = -2, find h'(- 1²0100

A: Topic:- function and its derivatives

Q: Find g'(6) given that f(6)= -9, f'(6) = 2, and g(x) = g'(6) = 7x + 4 f(x) (Round your answer to four…

A: Given query is to find the Indicated derivative.

Q: If (g(5x) = -15, then g'(x) = %3D %3D (b) 3 (a) 0 (c)- (d) –3

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Q: f(x) = (4x + 1)2;    (0, 1) (a) Find an equation of the tangent line to the graph of the function at…

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Q: Find g'(8) given that f(8)= -6, f'(8) = 7, and g(x) g'(8) = = 9x + 5 f(x) (Round your answer to four…

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Q: If h(x) h'(1) = 25 = 3+2f(x), where f(1) = 3 and f'(1) : × = 5, find h'(1).

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Q: Find 1 h'(1) if h(x) = g(f(x)), g(x h'(1) = = x + 1 X-1 and f(x) = In(x).

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Q: y''+4y=0  y(0)=5 , y'(0)=6 find the start and end values Y(s)=?

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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: If f(x) = 7x° – 3e", find: f'(x) = %3D f'(5) = f''(x) = %3D f''(5) =

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Q: f f(x)=x3-x+2 find a formula for(without using d/dx) a. f'(x) b.f''(x) c.f'''(x)

A: Explanation: Given function: f(x)=x3-x+2 a) f'(x) f(x)=x3-x+2f'(x)=3x2-1+0f'(x)=3x2-1

Q: If f(x) = 7a – 8e", find: f'(x) = f'(5) =| f''(x) =| f'"(5) = |

A: in differentiation if  constant is multiplied with variable then constant remains simply multiplied…

Q: Find g' (3) given thatf(3) = – 5 andf' (3) = 10. Enter the exact answers. (a) g(x) = 4x² – 3f(x)…

A: solution:-f(3)=-5f'(3)=10(a)g(x)=4x2-3f(x)g'(x)=8x-3f'(x)put x=3g'(3)=83-3f'(3)       =24-3(10)…

Q: Find h' (2) given h (x) = ƒ (x) g (x and given -3, f' (2) = 5, and gʻ (2) = 1 f (2) = 3, g (2)

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Q: Find g'(6) given that f(6) = -3, f'(6) = 4, and g(x)= g'(6) = -91.6667 X = 9x + 8 f(x) (Round your…

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Q: K Find f'(x) and f''(x). 2 x - 3x X+ 1 f(x)= f'(x) = 0 f'(x) = 0

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Q: If f(x) = 7x³ – 3e², find: f'(z) = f'(4) = | f'"(x) = f''(4) =|

A: The given function is: f(x) = 7x3 - 3ex