Activity 2. Find (a) y' by equating the function to y and differentiating it; (b) y' by imp differentiation; and (c) y" using either of the solved y'. 5. x3 y3 = 3 -

Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

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Q: 1) Find the derivative of the given function with respects to e 3 tan 6 In 3 y

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: Can you help me step by step?

A: Given function is

Q: 9. [Essay] Find the derivative of y = 3x + 1). За* (x? — Зх + 1). Зах

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A: Using derivative of composite function.

Q: 1. Find an equation of the tangent line to the graph of the function at the given point. f\xl=In…

A: Solved below

Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

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

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Q: 4. Find the first derivative of the given function using the Rules of Differentiation: a. h(x) = X-…

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Q: 16. Use logarithmic differentiation to find y'. (a)= (x2 + 1)tan(=) (b) y = (sin (3z))VE

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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: 5. Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: Given eq. is xcosy=1Now differentiate wrt x on both sides:ddx(x*cosy)=ddx(1)We know that…

Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

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Q: 2 Suppose that x and y are related by the equation 4x² - 3y² = 5 and use implicit differentiation to…

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Q: Find the derivative of y with respect to the independent variable. x2 y =log 8 Sx+1 1 8x+1 O In8 x2…

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Q: Find the equation of the line that is tangent to y = ln x at x = 1.

A: Find the equation of the line that is tangent to y = ln x at x = 1.

Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 1. Find dy/dz by logarithmic differentiation differentiation.

A: Given y = xln(x)   --- (1)

Q: 1. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Part 1 : Slope of tangent at (π2, π4) is given by dydx(π2, π4) ⇒y·sin 8x=x·cos 2x⇒ddx(y·sin…

Q: 1. a) Find the derivative of the function y = sinx + cosx. %3D b) What is the value of the…

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Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: 14. 1 Find the derivative of y = Vx + 8 5 - 6. - Provide your answer with positive exponents. Enter…

A: The solution are next step..

Q: 1 6. Find the derivative of f(x)= 1 at the point 8, Vx+1

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Q: 1. Determine the x-value where the curve y= 3cosh(2x) has a tangent line parallel to 3x-y 7. State…

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Q: de IF 4c²0t = (0² – t²)² , f ind | dt

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Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: 2. Find the equation of the tangent line and normal line to the curve f(x)= 3x at the point(1,1). x²…

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Q: Find the first derivative of the following: 1. y= y = Ine-tanh² 2x 2. Y= sech(5x-1)tanh(5x-1) 3.…

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Q: Find y" by implicit differentiation.   x3 + y3 =1

A: We find y' first

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A: We will use basics of numerical methods here

Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

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Q: 6. Find y"by implicit differentiation of x³ + y3 = 1.

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 %3D dx b) EVALUATE THE DERIVATIVE FROM PART a AT…

A: Given: x4y3=-8

Q: 1. Find dy/dx = y' by logarithmic differentiation. (Must use logarithmic differentiation should…

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Q: 1) Find the derivative of the given function with respects to 0 y = 3lan In 3

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: 9. [Essay] Find the derivative of y * sign 3a* (x? – 3x + 1).

A: Given function is: y=3axx2-3x+1 We have to find the derivative dy/dx. We will use the following…

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A: A). A piecewise function is: fx=2x≤1xx>1 Graph for this piecewise function is: B. Given function…

Q: e) The function f(x) = log(x)log(x) with x %3D Jse fzero to find a zero of its derivative. What is…

A: The given function is f(x)=log(x)log(x); with x≥1