1. y u? +1; u= 3x -2 2. y =u2 + u -2; u= 2 %3D

Q: Use an appropriate form of the chain rule to find the derivative. R = e3s=t"; 3s-t2 s = 4ø, t= $/2…

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Q: Use the product rule to find the derivative of (6a° – 4xº) (9e" – 5) - Use e^x for e". You do not…

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y? + z²; x = p sin $…

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Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t; s = 4¢, t= ¢/2 dR dø ||

A: Given: Now,         dRdϕ=∂R∂sdsdϕ+∂R∂tdtdϕ      =e8s-t2· 8dsdϕ+-2e8s-t2tdtdϕ      =e8s-t2·…

Q: (A) Find the derivative of t3 – 1 %3D t3 +1°

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Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t. = 4ø, t= ¢'/2 S dR dø…

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Q: Find the derivative of the function

A: Given  that y = ( ax+ √(x2+y2)) -2 Method used- Chain rule- The chain rule states that the…

Q: (4x + 3) 3 C. y =Tx-2)? %3D

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Q: Using the definition of a derivative, find y (5) given y(z) -6z+4 6z-2 %3D Provide your answer…

A: Given function: yx=-6x+46x-2

Q: 13. Find the derivative of y = ef 2e D.y'= A. y' B. y' = - C.y: cy-

A: The function is y=e2x

Q: Find the derivative of y with respect to the independent variable. 6- e y=t O A. (6- ers-e O B. (5-…

A: The derivative of xn is given as,ddx(xn)=nxn-1

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t; s = 7p, t = 4/2 dR dø

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Q: 2. If u3 = a³t, find· d?u where a is a constant. dt2

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Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

A: Given query is to find the derivative of the expression.

Q: doy= Ax²+ B Find the differential of the curve family.

A: Given curve is                                                    lny=Ax2+B we have to find the…

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

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Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t"; s = 7¢, t 2 dR %3D do

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Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Question #o8:- Calculate f(w) derivatives as m rtr flw= flu) tet dte

A: Answer: To calculate the derivative as f'(x)f(x)=∫0sinxtet2dt

Q: Assuming that y is defined implicitly by the equation a? - y? = 100, the derivative - dy at (2, 19)…

A: Here I am attaching image so that you understand each and every step.

Q: Find the derivatives of y= s2-a2 / s2+a2

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Q: Given that h(x) = xi + what is the anti-derivative of h(x)? (Do not include the constant C'in your…

A: Anti-derivative

Q: Find the derivative of the function. 3-t z= 9+1? Choose the correct answer below. 2- 6t-9 O A. z'=…

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Q: 2. In each case, find the derivative d (a) z = x* + y and r(t) = In (t) and y(t) = e24, (b) z = 5xy…

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Q: Find the derivative of the function y = 7.7+ 6 -6*. dy dt %3D e Textbook and Media Save for Later

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Q: Compute the derivatives, where c is a constant.

A: Our Aim is to compute the derivative of the expression given below:-ddy9c2y3-24c-(i)

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t; s = 5¢, t = 6/2 %3D dR…

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Q: Find the derivative. y e How did you determ

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Q: Find the indicated derivative. ? +4 y = (3t – 6)5 d t +4 %3D 5 dt ( (3t - 6)°

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Q: Use the chain rule to find the derivative of f(x) = 2(10r° + 9®)™ You do not need to expand out your…

A: Given: f(x)=210x8+9x615

Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: Find the derivative of t2 + e3t e(t²+1) f(t) = %3D

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Q: Find the (i) first and (ii) second derivatives of the functions below a. y = r² +x+ 8 b. y = (2 –…

A: solution

Q: 6. Find the derivative of y = t2 ? = 2t b) = 2t d) = 2 a) 2 dt 4..

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Q: Find the second derivative, d72 where y is related to x implicitly by the equation below. 5a -y = 10…

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Q: Use an appropriate form of the chain rule to find the derivative. R= e28-t; s = 80, t /2 %3D dR %3D…

A: Given R=e2s-t2 Where s=8∅,t=∅1/2 we need to calculate the value of drd∅ drd∅=dd∅(e2s-t2)…

Q: (a) Find the derivative of the function y (13 +1)10 %3D dt

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Q: Q: Find the derivative dy of the function: dx 3x – 4x? + 5+ Vr – 2Vx5 - y = x2

A: dydx3x3-4x2+5+x3-2x5x2=ddx3x3-4x2+5+x3-2x5·x2-3x3-4x2+5+x3-2x5·ddxx2x22=3·3x2-2·52x52-1-4·2x+13x13-1…

Q: 1. y = u=x? + 1 2. y= www v 3. y3D u? + 2u -3; u = Vx

A: We have to find derivative y by using chain rule.

Q: y=メsn?3%

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Q: Use an appropriate form of the chain rule to find the derivative. R = e7s-t; s = 9ø, t= $/2 dR dø

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Q: (c) Use the chain rule to find the derivative of the function z = 2r*y³ – ry² along the curve given…

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Q: Find the derivatives of the following using chain rule. c. f(x)= lnx^2 +4e^x d. y=axe^bx e.…

A: Given: c. fx=lnx2+4ex d. y=axebx e. y=e3x3-x2+5x-6 To find : Derivatives using chain rule. Formulas…

Q: B) Find the derivatives of the following functions 2) y=2 Vx-1 sec Vĩ 2 (x+1)10 (2x+1)5 7) y=ttanh…

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Q: d²y 2. Find the second derivative of x? – 3xy? + y3 = 15 dx?

A: The given equation is; x2-3xy2+y3=15.

Q: 18. Up to what derivative is the derivative of y = x6 + 2x5 - 4x4 + 7x³ becomes 0.? a. yv b. yu c.…

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Q: Use an appropriate form of the chain rule to find the derivative. R = ebs-t; s = 5¢, t = /2 s = 50,…

A: To use an appropriate form of the chain rule to find the derivative.