Given r + xy - 3x 2: dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy from that da (b) Solve the equation for y as a function of x, and find equation. dy da (c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of z alone. dy dr || 一

Q: find the values of the derivatives.

A: Given: y=5-2x2y=1-1x To Find:  dydxx=-4=? if y=5-2x2dydxx=3=? if y=1-1x

Q: (a) Find dy – Ay, if y = 6 – 7x (b) Find the derivative of f(x) = 2(cos4x - sin4x) Solution.

A: Solved below

Q: Given x° + xy – 6x = 5 : dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy…

A: As per given question  We have to determine derivative of given equation

Q: - 9x Find the derivative of y with respect to x if y = e dy %3D dx

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Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: dy by differentiating implicitly. Do not subs da (a) Find dy dx (b) Solve the equation for y as a…

A: We will find the derivative.

Q: Given x³ + xY 6x = 1 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

A: Let's find.

Q: Given y = (ax? + bx )e -bx where a and b are constants. Find derivative of y with respect to x. e-bx…

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

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Q: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: A. If r = r(t) represents the position function at time t of a certain particle, then what do you…

A: first derivative of position gives- velocity

Q: Find the derivative of y with respect to the independent variable. y = 10cos T) -.... A. - 10coS TO…

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Q: Given x° + xy – 6x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy…

A: We can solve all the parts as below

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given functions are: y=a2-t2x=42t2+a In order to calculate d2ydx2, firstly we will calculate d2ydt2…

Q: Find of the function given implicitly and evaluate the derivative at the given point. y = sin ( 8x+…

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Q: Calculate the first numerical derivative of the following equation with the values xo = 1 and y o =…

A: Given function is fx,y=ex3y−sinx,  x0=1 and y0=15.6 for Δx=Δy=0.1 We have to find the first…

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 y with respect to x. y = sin (e 5t) e 5t e OA. 1- e 10t 5e 5t O B. 1- e 10t 5…

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Q: 13. Find the derivative of the following functions and simplify the answer 10z + Va y = (a) 8x2-7 et…

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Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. y = x/x

A: To find the derivative of a function

Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. у %3D 2. f…

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Q: Find the second derivative, d'y where y is related to a implicitly by the equation below. 3a + 2y =…

A: the equation of given implicit function is: 3x3+2y3=12 we have to find the second derivative d2ydx2.

Q: Find the derivative of y=2ecos.x)(sin(5x)) d'y Calculate as a function of t if x=t-t and y=t-t 2 dx?…

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Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): 2 X = 2…

A: First, evaluate the first derivative dydx (y'). To find y', determine the dxdt and dydt.…

Q: Find dy for the given values of x and Ax. 3 2 y = x° - 3x + 5; x = 1; Ax = - 0.1 What is the…

A: Given: y=x3-3x2+5 ; x=1; ∆x=-0.1

Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. y xvx 2.…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 1. Z=- ; d²z/dx? 1+x2 2. Y= (3x³ + 2)ª ;y" 3.…

A: z=2(1+x2) Differentiate with respect to x, dzdx=ddx2(1+x2)-1      =2(-1)(1+x2)-1-1(2x)…

Q: Given x³ + xy - 4x = 4: dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy dx…

A: The given expression is x3+xy-4x=4. The main objective is to calculate the value of dydx by…

Q: Vw Find the derivative of y = 3W with respect to w. dy dw

A: To find dy/dw

Q: Find the derivative of the given function. y = x-5x +5) y = (x² - 5x + 5) e 6x 15 dy dx

A:

Q: h(x) = In (2x-2)+(x² +1)e³x-6 %D Calculate the derivative at x=2, that is h'(2)=

A: calculate the derivative as shown below: h'x=ddxln2x-2+x2+1e3x-6…

Q: Given that f(x) = 9x + x³ + 6, find the derivative of f- by using dy the formula dx 1 Check your…

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

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Q: Given x + xy – 2x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

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Q: Given x+ xy - 6x 3: dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy…

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Q: Assuming that y is defined implicitly by the equation a2 – y² = 61, the derivative dy at - dx (2,…

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Q: d 1) Find sec dt t2 - 3t 2) Find the derivative of y t+1.

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Q: 6. v(y) = In (y² – 8y – 1)

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Q: The third derivative of y=x is A) 0 B c) None of the given choices D) 6x E) 3x

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Q: Solve for the derivatives of the following functions with complete solutions. a. y = In (5x²) b. y =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

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Q: Consider the step size h = 0.1 and h = 0.001, how does the step size affect the accuracy in %3D…

A: Given that, A=82, B=16.4f(x)=Aex+Bx2sinxFor the given values of A and B,f(x)=82ex+16.4x2sinxWe need…

Q: Find the derivative of the function. V y= In 8v +5 dv

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule  so…

Q: Find dy for the given values of x and Ax. y=2x+9; x 1, Ax 0.12 What is the derivative of y = 2x +9?…

A: We have to solve

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

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Q: dy Differentiate implicitly to find dx e**y = 8x + 3y +8 Evaluate the derivative of the each side of…

A: