1. Find the derivative using the Fundamental Theorem of Calculus, Part I, without evaluating the integral. d 1a) — 7² √₁+1² dt dx 3 1b) d 5/1 da ecost dt 1c) y = etan z 10 (Int+5) ¹⁰ dt

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Q: 6. Determine the equation of the line that is tangent to f(x) = 4x – tan x where x =

A: The answer is found in step-2.

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A: The objective is to determine the values of a for which the curve y=x2+ax+2 have a horizontal…

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Q: Use the sign of the derivative to establish the inequaltiy In(1+x) > I -,V> 0. 2

A: See the attachment

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Q: The further x is away from the point of tangency, the better the tangent line approximates the…

A: False

Q: 6. у3 2x – Jx² – 1

A: Given function y=12x-x2-1 we want to derivative of given function with respect to x

Q: Let f(x)=x^4-6x^2+10 solve the following    1. Fine the equation of the tangent line when x=1  2.…

A: Please refer to the image below

Q: (b) dx

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Q: 3. Compute 4 (sin? x + cos? x) without using the derivative formulas for sin x and cos x.

A: Given:

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A: According to the given information, it is required to find the implicit differentiation.

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A: Given; y= ln 2x2.

Q: 1. Find the equation of the tangent line to the graph of the function implicitly defined by the…

A: The given equation is: x=tany. We have to find the equation of the tangent line for the given…

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Q: Sorry, my fault (√4x+2y)+(√4xy)=10.1289902044924 4x+2y is one square and 4xy is another square root.…

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Q: omplex derivative of (Log z)^3

A: Given: log z3 To find: The complex derivative of given function.

Q: PLEASE DO ON PAPER

A: If you have any doubt ask in comment box.

Q: please show where the absolute stripes of " ln|y-1| " go?

A: Consider the differential equation , , where .The solution is .Also observe that thegeneral solution…

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Q: The slope of the tangent line to the graph of the function y= 8/T-6 at (36, 42) is O -1.50 6 O 0.67…

A: Slove of the tangent to the function y at point (a,b) is m= y'(a).

Q: Suppose z is a function of x and y satisfying the equation rey + ye" + ze = 1. Use implicit dz dz…

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