II. Find the derivatives of the following functions. No need to simplify your answers sin a. f(x)=e(*) b. y=log,(x'+cos.x) dy Find given xy+tan(xy) = 7 dx с.

Q: Q Find the derivativeof y)with respect tox; in the foltowina function s and u=3X 2 Find dy for the…

A: Given that  The functions  As for the guide lines to solve the one question but here I am solving…

Q: 1. Find the derivative of the following e)y ln x - x ln y = c

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Q: 29.:* Find the derivative: h(x)= | dz z+1 a. b. C. 2+2 d. 2(x+1) e. None of the above.

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Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

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Q: b) Find the derivatives of the following functions: (i) 3x+4 y = tan x+5 (ii) y = e* -cos3x + x log.…

A: Derivatives

Q: Determine the first derivative for each of the following functions. Remember to "Tidy" up your final…

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Q: A) find the derivatives for the following: 1) y = In(In(sin¯'(e?r))) – 5-Inx 2) Y=sech-1(log, 93*) +…

A: Chain rule for differentiation: Let y=fghx then dydx=ddxfghx=dfghxdghx×dghxdhx×dhxdx Equation of…

Q: 1. Find the derivative of the following using implicit differentiation. TYON b. BARZ c. y = sec(x +…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

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: Q10. Find the first derivative of the following: a. y= sin(cos5x) b. y= In(2x') y=(-5x' +2)* d.…

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Q: 20. Find the derivative of the following functions (do not use exponential definitions of hyperbolic…

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Q: Which of the following means "first derivative" * O f(x) O y' O dy/dx all of the above

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Q: 1. Find the derivative d/dx using implicit differentiation of the following functions. Show your…

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Q: Find the derivative of the following with complete solution A. y = sin x - 1 / cos x B. y = x^2 sin…

A: To Find the derivative of the following with complete solution

Q: 4. Determine the following derivatives without simplifying either before or after. d a. dx -…

A: As per the guidelines I am supposed to do the first three parts of a multipart question.  So I am…

Q: B) Find the derivatives of the following functions: (for only 6) 5) y- In ( sin' 0) 6) y = log:() 7)…

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Q: 6. Calculate the derivatives of the following functions. DO NOT simplify the answers! a) g(x)= In…

A: Please refer the attached image for complete solution.

Q: d'y dr2 for the following functions. 3. Second derivatives Find y = x cos x? 71. y = sin x2 Vx? + 2…

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Q: 5. Find the following derivatives: a) y = x?e-2/x b) y = t tan -t- t -Int

A: Given:  5)a) y=x2e-2xb) y=ttan-1t-12lnt To find: Derivatives of the given functon.

Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

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

A: Given that

Q: For which of the following functions is the chain rule an appropriate method to find the derivative…

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Q: Let e - v = 1. Find each derivative. du dv (a) dv (b) du (c) Based on your answers to parts (a) and…

A: eu2-v-v=1

Q: Find derivative /differential of each of the following functions by using the appropriate formula.…

A: y=x2 e2x  dy / dx  =?

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: 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy b) x cos(2x + 3y) = y sin…

A: NOTE - (“Since you have posted multiple question with multiple sub-parts, we will solve first…

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not…

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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: 3. Find the derivative of the given exponential function w e2t (2 cost + sin t)

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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: Find the first derivative dy/dx of the following. Simplify. y = (1+ x²)Arctan x – x

A: Given y=(1+x2)arctanx-x To find the first derivative dydx

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t…

Q: I Find the second derivative(y") of the following functions and simplify the final results. 4. y =…

A: 4 y = xcosx now fist derivative y' = x(cosx-1)cosx(-sinx) y' = (-1/2)sin2x x(cosx-1) now again…

Q: Find the first order derivative for the following: T-cot(e(40)y) sin(10y²) 10 + Vx4 + 10e* y3

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Q: Q1)Find dy/dx for the implicitly defined relation sin(xy^2)=xarctan(y). Q2) Find the first two…

A: Given:sin(xy2)=xarctan(y)Differentiate both sides:cos(xy2)y2+2xyddx(y)=arctan(y)+xddx(y)y2+1Isolate…

Q: 6. Find the derivative of each of the following d. 2 a. dx [tan (3z)] sin x b. dx r2 + 1 Fnd the ki…

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Q: Q1: Find the following: a. Differentiate with respect to the parameter t x = sin?t, y cos²t b. Find…

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Q: 4. Find all second order derivatives for the following functions. (a) f(x, y) = 2x2 + 3xy + 2y?, (b)…

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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: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: (b) Find the derivative of the following functions with respect tox. (i) y = sin (2x – 3) (ii) y = x…

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

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Q: 2. Find the first and second derivatives of the following functions a) y = 6) y = e", c) y = In (sin…

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Q: 1) Find the derivatives of the following. Simplify your final answers. a) f(x) = 2 2x T sin 2x + 2x…

A: a) f(x)=[2x1/2-3x2/3/2]/(1-x) -pi sin2x+(e2x+2x) 1/2-lne. Repost the next parts.

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x)…

Q: I Find the second derivative (y") of the following functions and simplify the final results. 6. y =…

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

Q: 3. Evaluate the following derivatives: a) y = In[sinh(2x)] b) f(t) = tanh-1 VE

A: Derivative of the inverse hyperbolic function formula: -  ddx(sinhx)=coshx ddxtanh1x=12ln1+x1-x…