Let a be a real valued constant. Evaluate e-az sec(e¯a«)dx . O - In|sec(e-a*)+ tan(e¬a")|+C In/sec(e)+tan(e¯")| +C - In|sec(e-)+tan(e¯a=)| + C In|sec(e)+tan(e*)| + C

Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: Let f(x) - 9 sin' a 4 f'(x)

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Q: The domain of the function f(x)= tanh(18 - ) is (289, A), Then The value of k= %3D The value of A =

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Q: fx) = (4x² + 3x"²) e*. %3D Do you think that the domain of f'(x) is the same as the domain of f(x)?…

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Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Differentiate each function a) f(x) =sin'[ (tan (cos (x²)) ] b) g(x) =/ sec(x* +2x) c) h(x)=V5 +3x²…

A: As per our guidelines we need to solve only 3 subparts.please repost the remaining subparts as other…

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

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Q: Suppose the distance (in feet) rest is given by the function f(t) = 3t ^ 2 (0 <= 1 <= 30) . a).…

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A: What is Principal Branch: A function that chooses one branch of a multi-valued function is known as…

Q: Let f(y) = ⌊y⌋. Find a) f^-1({0}). b) f^−1({−1, 0, 1}). c) f^−1({y | 0 <y< 1}).

A: The given function f(y) is floor function:   The floor function is defined as: fy: The greatest…

Q: In Exercises 61-67,firstfind f' and then find f.

A: Solution -    Given function -  f''(x)=x3-2x+1Given conditions-f'(0)=1, f(0)=0   a.) Evaluating…

Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

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Q: The derivative of the function f (x) 3x tan x is Select one: O f'(x) = 3 tan x + 3x sec² x O f'(x) =…

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Q: f(x) = x^3 - 4.5x^2-12x+1 Find the first and second derivatives> sketch a graph of f and f".…

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Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

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Q: Find the slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: Find the derivative of f (x ) =V sech( In (8x + 1)) - sech(In(8x + 1)) tanh( In(8x + 1)) A 2/ sech(…

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Q: If f(x) f'(x)= = 3x sin x cos x, find Find f'(5): =

A: 1) f(x)=3 sinx cosx 2) f(x)=8cosx+6tanx.

Q: tan x – 2 If f(x) sec x f'(x) = f'(4) =

A: f(x) = (tan x - 2)/sec x f(x) = (tan x/sec x) - (2/ sec x)        = (sin x * cos x /cos x) - (2 cos…

Q: Let f'(x) = f(x) = V cos(eztsin(2=)) 4.

A:

Q: Explain and sketch how a function can have f ''(a) = 0 at (a, f(a)) and not be an inflection point.

A: It is given that f''(a)=0 at (a, f(a)). The objective is to explain and sketch how a function can…

Q: (4) Consider f(x) = x5 + xª + 1. (b) On what intervals is f(x) one to one? (c) Find a formula for…

A: (d) Consider a given function: fx=x5+x4+1 Let gx=f-1x. Find g'1.0488 when domain of f is restricted…

Q: Let f(x) f'(x) = 2 cos x + 7 tan x 2 sin(x) + 7 sec²(x) 1' (5) = 6

A:

Q: Suppose f (x) =5"sec2(5*). Evaluate: tan (5*) + C In (5) (A) 5*. tan (5) B +C In (5) In (5) · tan…

A: Put 5x=t then integrate it.