12:06 ■I 5G (3) Calculate the derivative f'(x) of the following function a) f(x) = √1- b) f(x) = x² tan(x²) On which interval is the function f(x) differentiable? 9 4

Q: A- Say whether the function is even, odd, or neither 1) g(x) = 4+tan x 3) g(x) == .) f(s) = 3s +2 4)…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: 7 -7 Use the fact that the derivative of the function f(x)= is f'(x) = - to find the equation of the…

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Q: 2) Find the tangent equation for the function f(x) = x² + 5x at the point (1,4). *****: **********

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Q: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) =…

A: Equation of tangent line

Q: If f(x) = 3 tan 1 x, then find the value of f'(5) is . %3D -5 26 3 26 3 26 26

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the derivative of g(x) = x² ex

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Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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Q: How do you solve question 9?

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Q: Find the indicated quantities for f(x) = 2x. (A) The slope of the secant line through the points…

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Q: The sequence is defined recursively. Compute the first five terms a₁ = 0; an = 2an-1, n ≥ 2 a₁ = a2…

A: Given: So,              a2=2a1=20=1a3=2a2=21=2a4=2a3=22=4a5=2a4=24=16a6=2a5=216=65536

Q: Application 19. Determine the derivative of the following & simplify (within reason): [ a)…

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: 13. Question: If f(x) is a position function, how could we describe f'(x) and f"(x)?

A: we have f(x) as positional function.

Q: 17. Applying the quotient rule, what is the correct FIRST STEP in finding the derivative of the…

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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: A student incorrectly evaluated the derivative of f(x) = as f'(x) = %3D Væ + sin(x) -1/2 + cos(x)…

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Q: a) Find the derivative of the following functions (i) y = x² sin* x + x cos-2 x. (ii) y = e(4vz+z²).…

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Q: ind the third derivative for for f(x,y) sin()

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Q: hCt)-5t (1-ビ ((チ1) (け)

A: Given query is to find the derivative of the expression using product rule.

Q: (b) Hint: sin(a + b) = sin(a) cos(b) + sin(b) cos(a) f (x) = sin(x) %3|

A: sin ( a + b ) =sin (a ) cos ( b ) + sin(b)cos(a)

Q: 1) Find the derivative of f(x) 1+sin 2 x %3D 2 cos x

A: we are given the function is  f(x)=1+sin2x2cos3x