Finding derivative implicitly dy/dx exy + ln(xy) - x2 + y2 = 5

Q: 8 log, 4-37 Using rules for derivatives, find the derivative of f (x) sin x

A: Given: fx=8logx4-3xsinx We know that ddxuv=vdudx-udvdxv2…

Q: Second derivatives Find d2y/dx2 . x + y2 = 1

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Q: logarithmic differentiation to find the derivative of the function. y = Vxe* (x² + 9)10

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Q: Find the first derivative of: y=-3/√2+x

A: Given : y=-32+x To find the first derivative of the given function.

Q: (a) Find the derivative. y = ln(4x − 2) − 3 ln(x) dy dx =     (b) Find the derivative. y = ln…

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Q: Logarithmic Differentiation of (ln x)^x^2

A: Given expression

Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: Implicit differentiation of x^2y^2=4

A: we have to find the implicit differentiation

Q: A differentiable function has the value y(-1)=1 and the derivative value y’(-1)=2 approximate the…

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Q: x-2 Find the 1st derivative of y= sin x+3

A: To find the first derivative of y=sinx-2x+3. Solution: Chain rule of differentiation states that:…

Q: X- 1 Find the anti-derivative of /1-x² 1- x2 – Arcsin x + C V1- x² - Arcsin x + C 2 2/1- x2 - Arcsin…

A: Here we have to find the antiderivative of x-11-x2 ⇒I=∫x-11-x2dx

Q: Second-order derivatives Find the second derivative of y = csc x.

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Q: First Derivative:  w=sec2x+tan2v

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Q: Engaging Activity: Use the definition of derivative. 1. Find the derivative of y =- -at x = land x…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Using implicit differentiation find dy/dx if e^x-y=cos y

A: We have, ex-y=cosy   In implicit differentiation of a function of 2 variables, we differentiate the…

Q: 6 2) Find the 3rd derivative of y = (x-1)2

A: Given: y=6x-12

Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x > 0 is the output…

A: We will use the basic knowledge of functions and derivatives of functions to answer this question.…

Q: 4. Using logarithmic differentiation, or otherwise, find the derivative of y = (sin r)".

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Q: Using chain rule evaluate the first derivative of y=x²(x+1)³.

A: We have to find first derivative of the function using chain rule: y=x2x+13 We know the formula of…

Q: 4. y = 7(x² +2)

A: ddx7x2+23Take the constant out:  a·f'=a·f '=7ddxx2+23Apply chain rule:=3x2+22ddxx2+2=7· 3x2+22·…

Q: derivative of e^ax+b by first principle

A: .

Q: 3 (V5x + 2)(x² – 2)3 y%3D 7x-8

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Q: Implicit differentiation Ex. Find dy/dx: x² +xy+ y = 5

A: We can find the required implicit derivative as below

Q: Finding the first and second derivatives in detail y= A 2*

A: We will use derivative to solve the given problem .

Q: True of False: Derivative of (arctan(e^(-x^2))) = [-2xe^(-x^2)] / [1 + e^(-2x^2)] Show your…

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Q: find the derivative of the function y = -7cosx

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Q: Derivative of aresine Assume that y = sin x is a differentia- ble function of x. By differentiating…

A: Given: y=sin-1x

Q: Il relative extrema of the function f(x) = x* - 4x2 +2 by using the Second Derivative here…

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Q: Implicit differentiation x^3+4x+y^2-3y+1=0

A: x3+4x+y2-3y+1=0

Q: „sin(x) Find the derivative of : y =xm9

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Q: f f(x) = x²√Inx² x . find the derivative of this function f'(x) 1-In x² x²√√In x² A. f'(x) = B.…

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Q: (x+ Ax)-S(x) Use the definition of the derivative f'(x) = lim Ax0 to find the equation of the line…

A: Use definition of derivative

Q: Find the derivative of the function. y = etan(x)

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Q: Implicit Differentiation y²=x' Find dy if dX 1. + Sinxy Find dy 2x-3y=8 2 2- if dX2 3- Use implicit…

A: As per our company guidelines we are supposed to answer only first 3 sub parts kindly post other…

Q: x² - 4x Find the slope of the tangent to the curve of f(x)=- at x = 0. 3- cos x

A: We know that the slop of a function is the derivative of that

Q: Find the derivative of a function at a given point F(x)= 2e^x-x at x=1 F(x)= x^3-5x at x=2

A: We have to find derivatives of the function: Fx=2ex-x at x=1 and Fx=x3-5x at x=2. We know the…

Q: (b) Find all relative extrema, using First Derivative Test. Sketch a graph of the function. x2 f(x)…

A: Given fx=x2x-1

Q: Ln (sin? (D-C)x) Using first principle find derivative of f(x) xD-C

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Q: Find the first derivative of: y=√1-3x

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Q: II. Derivatives 3) Find the derivative of f(x) = 4eVxº-2 . (Remember to use your exponential…

A: Using chain rule of derivatives.

Q: derivative of y=1/b²+bx-aln(a+bx)

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Q: HIGHER DERIVATIVE OF A FUNCTION AT A POINT 1. If y = 3x3 – 6x2 + 6x + 1, find d dy dx ' dx2 at x = 2

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Q: Finding an equation of tangent line to the graph ln(xy) - x2+y2=0 at (1,1)

A: To find equation of tangent line to the graph of below curve at (1,1).

Q: Derivative of: xn+1/ n+1 + C

A: Given, xn+1n+1+C. It is differentiated as follows: ddxxn+1n+1+C Take n, C as constant. Apply the sum…

Q: Finding a Derivative of the function. 23. f(x) = sinh 3x

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Q: 4. у"- Зу' + 2у cos e*

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Q: Partial Differentiation a2z 1. If z = e* sin y + e³ cos x, verify a²z = 0 ду?

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Q: partial derivative laplace

A: Given function is  f(x,y,z)=e^(3x+4y) cos(5z)

Q: Given f(x)=x(x-1). a) Find first derivatives of function f(x) using product rule and chain rule.

A: Our objective is to find the derivative and critical points.