1 at 4x-1 a) Using the definition of the derivative, find the derivative of f(x)= X= 1 b) At time t, the position of a moving particle along the s axis is given by s(t) = --5t-3 i) On what time intervals is the particle moving from left to right? ii) Is the particle speeding up or slowing down at time t=1 second?

Q: Question: Find the derivative. y = (2x – 5) (-a + 4) 1. Select one: O y' = 3(4 – z) 2 O y' = 3(4 –…

A: Topic = Derivative

Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

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Q: f (x) = a?2 + bx + c  mtan =f’= 2ax + b   At what value(s) of x is the line tangent to the graph of…

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Q: 3 (8) Consider the curve given by 23 + x?y+ y³ = 1 Use implicit differentiation to find the equation…

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Q: find Using your results from problem #3 the equation of the tangent line for f(x)... when -20 2-2…

A: We have to find the tangent line equation

Q: 2. Find the derivative of the following functions: 5x + 6 (a) y = 8х — 1 )(",-) 2 8. - 8 (b) r =…

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Q: 1) y%= (ans.: max.(1,0.5); min.(-1,-0.5)) 1+ x in (2 3-50,8))

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Q: 01:- Find the first order derivative of each of the following functions: (1+x)3 sec(x2) y = ex.sin2…

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Q: Find the 3rd derivative of the function y (2z-8z2 +3) (z+3) O y"=120z2 192z + 42 120, 198z + 72 =…

A: We need to find the 3rd derivative of y=2x3-8x2+3x2+3 . So,      y'=2x3-8x2+3x2+3'…

Q: given the following information about its derivative: f'(x) -2 f'(x) = 0 at x = -2 -10

A: We will use relation between derivative  and character of the graph to draw

Q: By looking at the first derivative, decide which of the curves in the figure below could NOT be the…

A: The given function fx=x3-9x2+24x+1 for x≥0. Using the derivative to decide the graph that is not a…

Q: 3. Find the derivative of y with respect to x in the followin u? a) у3 u = 3x' - 2 and u' + 1 b)…

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Q: f(t)=5 sec²(7 Tt – 3)

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Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (ans.: (3x-2) a)…

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Q: -1 d) p(x)=√√4x²-7 e) g(x)=x²2³x-1 T f) p(0) = sin² (40) 2

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Q: use the Chain rule to find derivative: a) y = cot(412 +9) b) y = y = cos (e?) c) d) y = cos(x²) +1…

A: Solve the givens