59. Does knowing that x*y? tan xy 3 ху tell you anything about tan¬ xy lim (х, у) —- (0,0) ху Give reasons for your answer.

Q: Let F(z) = f(cos(x)) · sin (금) and G(x) = f(sin(x)) · cos : (주) and suppose that f(0) = 5, f(1) =…

A: We have to find

Q: 6. Find y' if y = ecotx? A. -2x [csc²(x²)] (ecotx") B. -[ csc (x*)] (ecotx") C. [cot(x²)]…

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Q: The tangent line to the graph of y = g(x) at the point (3, 6) passes through the point (1, 3). Find…

A: Please see the explanation below..

Q: Show that tan(y) sin(y) += cot(y) + sec(y) csc(y) 1+ cos((y) 1- cos(y)

A: NOTE: Refresh your page if you can't see any equations. . use cross multiplication

Q: 5)y= (1-メ) draw the function using the graph Of a x3 se con d derivatives, twist points. n formation…

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Q: 1-cos' (x) lim

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Q: 7) y=Flx)=cos" (x) A.) xCcoskl) =4 Cos? (x) %ax (coscx) =4 cas? (x) (-sin(x). 4 Cos (x)Sin(x) %3D…

A: Explanation of the answer is as follows

Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Let h(x) =tan(3x + 5). Then h' (4) is 3 sec² (17) 2 and h''(4) is

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Q: If f(x) = cos-(r"), then f'(x) = (A) (B) (C) (D) (E) -32? sin-(æ³) (A) O (B) o (c) O (D) (E)

A: We have to find derivative

Q: B- Graph the following: ( 1) y = -sin (x-1) +3 Q2) A- Find the derivative of the following: ( 1) y =…

A: We have to find part B and question 2) part A (1 to 4).

Q: e* tan (e*) dx sec2 (e*) – 7

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Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: Let h(x) tan(5x + 7). Then %3D h'(4) is and h''(4) is

A: As in question it is not mentioned wheather we have to considered degree or in radian inside…

Q: Find linearizing ( L(x) ) f(x) at x=a . where f(x) = tanx and a = π a) π b)  x - π c) π - x d)…

A: SOLUTION-

Q: lim

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Q: 3) Given f(x) = x² - 2x - 8 A) find the derivative f '(x) by solving lim [f(x+h)-f(x)] h→0 ALWAYS…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: (c) / sec/3 (x) tan' a dx ,1/3,

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Q: Please solve for (d) as the solution (c)

A: Givena limit To find:Evaluate the limit

Q: y' -8 d. lim y+2 2 2y – 7y+12

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Let f(z) = cos and g(z) = tan-(10z) Then if h(z) S(z) find: 9(z) h'(1) = N(즉) = |

A: The given functions are  f(x) = cos-1x/5 , g(x) = tan-110x   If, h(x) = f(x)/g(x)  Find h'(x) and…

Q: 2. If g(x) = (ƒ 03ƒ •4f)(x) = ƒ (3ƒ (4ƒ(x)). Determine gʻ(3), given f(3) = 1, ƒ(4)=1, ƒ'(3) = 2 and…

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Q: b) y= In( see x)

A: Answer and explanation is given below..

Q: Sketch the graph of each tangent curve in the interval from 0 to 2n and give the period of the…

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Q: sec (tan"(-5))

A: We have to find the value of expression: sectan-1-13 Let θ=tan-1-13 then tanθ=-13 We know the…

Q: Identify which of the following functions require chain rule application to obtain their…

A: Chain rule is applicable for Composition of two functions only

Q: Evaluate tan" (x) sec4x dx. 1 1 (A) =tan(+3)(x) + _____tan ( + 1)(x) + C m+3 m+1 1 B) (m+3 -tan…

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Q: Compute the derivative: tan-'(ax) (bx) (a) y = sin='(x²) (b) y = (tan-1 r)³ (c) y = sin

A: (a)   Differentiate the given equation with respect to x, dydx=ddxsin-1x2=11-x22ddxx2=2x1-x4

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Q: 5-x * tan(x) If f (x ) = -sec(x) (a) f'(x) (b) f'(5)

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Q: What is the period of the function y = 10 sin(( - )) + 25? Х 4π 3 3π 4 O 3 4 حرام

A: Given thatIf a wave function is given as then period will be