Question 17 df Calculate the derivative (1) = dæ where f (x) xe". O 2e No answer text provided. O 1

Q: Question 17 Using the definition of a derivative, find s' (r) given s() =-x2 2x +3. Do not include s…

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Q: (Question 12) Find the derivative dy for the function dx function y = arctan(3x – 4). Your answer…

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

Q: 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy

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Q: Which of the following is the derivative of the function h(y) = e°? On (y) = e³y Oh (1) = e Oh (y) =…

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Q: Find the derivative of y with respect to 0. y sech P. sech 1. 5. (Type an exact answer, using…

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Q: 3. (a) What is the derivative of sin(g(z))7 (b) What is the derivative of sin(2r + T)?

A: We have to find

Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: Solve and upload your solution and answer to the following questions: 1. What is the derivative of y…

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Q: dy of the function da Find the derivative x² In 4y = y sin 4x + e2". Answer:

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Q: Q. No. 5. Find the Derivative of the Given functions a) y = e"in: +2x b) f(x) = a+x

A: I have used the multiplication and division rule for derivative

Q: Which of the following is the derivative of the given function y? sin 8 1+ cos 1+ cos 8 sin 8 y = 2…

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Q: e2= (x² + 1)² 2/rª – 1 3. Find the derivative of y = ln Make any obvious simplifications. -

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: QUESTION 11 Find the derivative of the function at the given point in the direction of A. f(x, y) =…

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Q: Question 2. Find the derivative of the given functions: a) y = e5 log, (4x® + e2=) In(x² + 4)ez b) y…

A: We know that u·v' = u·v' + v·u' uv' = v·u'-u·v'v2

Q: QUESTION 23 1. Which of the following is the derivative of y=x'+ dy 3x/5-1 x2 o dy -3x -x2 dy 3-2/s)…

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Q: 1. DETAILS SCALCET8 3.4.041. Find the derivative of the function. f(t) = cos?(ecos?(e) f '(t) = O…

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Q: Find the second derivative of the function. h(t) = 10 cos t − 15 sin t

A: Given: ht=10cost-15sint for finding second derivative of given function, initially we find first…

Q: (d) Find g¬'(e). (e) Find the derivative of g at r = e, i.e. find (g¬1)'(e).

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Q: d dx sin(t) dt

A: We have to find derivative

Q: 1) tan x Find the derivative of y= = e

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Q: x² d. Find dx (e" -tant)dt. tan(x?) a. 2x(e** - tan(x?)) Ob. 2xex - sec?x O c. O d. It is impossible…

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Q: CL Activity # 4 # 19 III. Find the derivative of the following using implicit differentiation. 19. e…

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Q: EX. 3 Find the first derivative of the function tabulated below at point 1.5. 1.2 1.5 1.7 0.1823…

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Q: Find the derivative of the function. f(0) = cos(02). %D f'(0) = %3D

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Q: -1 The derivative of the function y = sin Va at 1 is equal to 4

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Q: Can you help me step by step with this problem?

A: Firstly, we set cscx+cotx=u, then y=u^-1 and then we find derivatives  dy/du and du/dx

Q: 1.4.1 Find the derivative of the following functions. a) f(8) = log3(cot 0) + esin 0 cos 0 Vtan r b)…

A: (a) Given information: fθ=log3cotθ+esinθcosθ We know that logab=lnblna Therefore we can write,…

Q: Find the derivative of each of the following. You do NOT need to simplify your answer. (a) y = (e" +…

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Q: QUESTION 3 dy Given that y = 2 – x2. Find using the definition of derivative. dx

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Q: -Ive the derivative dy for the function: x dx = e'sint ; y = ecost %3D

A: Given: x=etsinty=e-tcost We have to find dydx.

Q: Question 11 d²y is Blank 1. Find the second derivative of y= (x+5)² The dx- Blank 1 Add your answer

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Q: PART B QUESTION 1 I 1 dy Find the derivative Y for the function y = x° tan6x + dx QUESTION 2

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Q: Question 19 1. Find the function whose derivative is e¯(e* + 1)?

A: Let's find.

Q: Question 6 Consider the function below: sin(x²+y) { (x, y) # (0,0) (x, y) = (0,0) f(æ, y) y-x Find…

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Q: QUESTION 3 3 Given that f(x) x+1 a) Find f'(x) using the definition of derivative. b) Find the…

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Q: Question 4 Determine the derivative of the given function: y = (e + e*)3 Oy = 3(e+e) (e" - e) Oy =…

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Q: 3et +et Find the derivative of g(t) = Do NOT simplify. t2 +1

A: To find the derivative of the given function

Q: Question three [10] i. Find the value of the derivative of f(z)=z+2z -i at z=3+2i

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Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative ðf /ər if f = x² + y?

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Q: 18. Find an equation of the tangent line to the graph y = e * at the point (0,1). 7x dy if y = et…

A: As per guidelines incase of multiple questions asked, we are supposed to answer only the first three…

Q: 1 y 4 18) Find the first derivative of y = -sin? x

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Q: Find the derivative of the trigonometric function. Re) = e® sin(e) f (e) = -1

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Q: Question 5 Consider the function f(x, y, z) = x cos(xy² z). Compute the value of the derivative fr…

A: Solution

Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

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Q: Question No. o3 Calculate the directional derivative the of 2. function $ (*,y, 5) = xy+ ya* at te…

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Q: Find the requested higher-order derivative for the given function. d'y of y = 6 cos(x) dæ3 Preview…

A: You need to know the formula of differentiation of trigonometric functions.