What is the range of the function y = cos™+(x +1)? 0(-2,0] o [0, r] T O (0, T)

Q: Differentiate the function f(v): f' (v) = = V2

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Q: The population in millions of arctic founder in the Atlantic ocean is modeled by the function P (t)…

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Q: 6. If f(r, y) = tan-(x/y), then the value of f,(3, 2) is %3D -3 (b) (c) 1 (d) -2 (a) 13

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Q: Find the derivatives of the function x=a (cos t + sin t ) ,y=a(sin t -t cos t

A: To find the derivatives of the function

Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

Q: Find 이승 dy dx y=3(secx + tan x)(secx- tan x) 11 ***

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Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

Q: Suppose y is a function of x. Find y' given csc-1y + xy = sec 1 y.

A: Given, csc-1y+xy=sec-1y

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

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Q: Exercise 2. Evaluate f'(-T/3) where f(x) = = cos-(cos ). Be careful this one is little tricky.

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Q: ○ If f(t) = 2 - 9t cos t " find f'(0).

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Q: Q1/: a: Using the relation showthat J-va (x) = 2 cos x

A: We have to solve given problem:

Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Find f. f ''(t) = 4et + 6 sin t,    f(0) = 0,    f(?) = 0

A: To find f. f''(t)=4et+6sint,f(0)=0,f'(0)=0

Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: Pregunta 3 If f and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) =…

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Q: Let f(x) = 9e* cos x f'(x) =

A: Given: f(x)=9excos x f'(x)=?   Solution: ddx(9excos x)

Q: The graph of y = f"(x) is given above. The domain of f is [-3, 3]. a) For what value(s) of x, –3 < x…

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Q: 2) Find the derivative of the following: c) cos 2x - 3) In(8x - 5x +2)

A: Given:         cos(2x−3)ln(8x2−5x+2)

Q: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point…

Q: ) FIND F'6): c. f() - x 2- 3x2 F. f6) = VI-x

A: f(x)=x2-3x2differentiate w.r.t.…

Q: If f(t) = (12 + 7t + 5)(5t² + 4),

A: To  a.find f'(t) b. find f'(3)

Q: f(x) = 2 sin X;f'(-3)

A: The given function is fx=2sin x. Differentiate the given function with respect to x. f'x=ddx2sin…

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: f(x.y) = xtan(). =tan( ес

A:

Q: Find oy y'

A: We have to find

Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: (x² +8) cotx 2 - cos x csc x Find f' (x) when f (x) = 2x cot x – (x² + 8) csc²x A. f' (x) = csc²x 4x…

A: As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Product rule: f·g'=f'·g+f·g' The…

Q: Find ao of the function f(x) =(T - x)2 |3D | O 5 T^2/12 5 π^2/6 O T^2/12 TT^2/6

A: Fourier coefficient of the function

Q: Let fla) =Sint () Find f'(a) Let fla)= sin (u4) , Find f'Ca) Find f'(a) ニ

A: We can make it easier for you

Q: Ssec? [sec(4x)tan(4x) dx (p sec (5x +3) dx e) f sin 3x + 1. dx 2x +4 f)

A: We will solve the following