Both x and y denote functions of t that are related by the given equation. Use this equation and the given derivative information to find the specified derivative. Equation: x + 1ly = 1 (a) Given that = 3, find when.x = 6. at Enter the exact answer. dt (b) Given that = 8, findwhenx = 7. at dx %3! dt

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

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Q: Q1:- Find the first order derivative of each of the following functions: e) y = 1 + x'nx

A: Given that y = 1 + xlnx . We find its first derivative. We know that d(xn )  /dx = nxn-1  Here i…

Q: Find the derivative, dy/dx of each function below. The derivative should not have stacked fractions…

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Q: (x² +1)° {2x+1 V3x? +4 4. Use Logarithmic Differentiation to find the derivative dy / dx for y =-

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Q: Solve the initial value problem: f(x)%=x7+12x+17 and f(0)3D3. Find the derivative of the function…

A: Derivatives is the rate of change.

Q: In the given question/s , find the derivative of the function.   y = ln (ln x)

A: We have the function y in terms of x  therefor we can  find the derivative of the the function y by…

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: Find the derivative Of g(t)=ln(e^-t+2t)

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Q: 2. Given x³+ y3 = 6xy dy? a. Use Implicit differentiation to find ? dx b. Find the equation of the…

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Q: 1. Find and simplify the indicated derivative: (a) D: [e¯t sin(2t)]

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Q: find the first and second derivatives

A: According to power rule of differentiation , ddx(xn)=nxn-1  and according to sum rule of…

Q: Both x and y denotefunctions of t that are related by the given equation. Use this equation and the…

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Q: Find the derivative of the exponential function. y = e5x tan(5x)

A: given that  y =e5x  tan(5x)  So dy/dx=e5x d/dx(tan 5x)+tan (5x). d/dx(e5x)                 i.e…

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: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

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

A: Given that

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

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Q: Both x and ydenote functions of t that are related by the given equation. Use this equation and the…

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Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

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Q: Find the second derivative of the following equations using implicit differentiation: 5e 1. 5 = e…

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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: Both x and y denote functions of t that are related by the given equation. Use this equation and the…

A: Here we have to find the value of change in one function for given change in other function.

Q: 3(34 to Y= ! 2% e dy

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Q: e(2x- y) = 2x – y

A: Consider the function e2x-y=2x-y The given function is implicit function. Differentiate the function…

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: -1 The derivative of the function y = sin Va at 1 is equal to 4

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Q: Find the indicated derivative of the function. ddy of y 6x5- 4x2 - 4x + 1 1) dx4 Solve the problem.…

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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: 3 (a) Find the derivative of the function y = (t3 + 1)10 dt

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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 the derivative of y with respect to the independent variable. y = (In 20)" Select one: A. T(ln…

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Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) […

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: 1. Find ALL THE DERIVATIVES of the function: f (x) = 2x7 – a5 + 5a³ – 8x + 4 2. Use logarithmic…

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Q: Find the derivatives of the functions

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Q: B) Find derivative of the following function d dx 6tanz

A: A detailed solution is given below.

Q: Solve the problems below: 1. Find the 25 derivative of y=x. 2. Find the nth order derivative of the…

A: 1. Consider the given function, y=x20 the first derivative of the function will be,…

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given, f(x)=sin(2x)+17

Q: Find the derivatives of the functions y = (1 + 2x)e-2x

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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: Both x and ydenote functions of i that are related by the given equation. Use this equation and the…

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Q: Sin (7€) + Cos (SE) 5지

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Q: 2. Find the derivative of each function a) y=(2x+5)/(3x-2) b)f(s)=((square root of s)-1)/((square…

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Q: 1. Calculate the derivative of the following function. y= V2x + 19 dx 2. Calculate the derivative of…

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Q: 2=1.4. (d) Use the second derivative mid-point formula to find the most accurate value for at

A: We will use basic knowledge of numerical analysis to answer this question.  NOTE THAT IN YOUR…

Q: Given the curve defined by the implicit equation ° – 7x + y* = 16, find the derivative of y with…

A: given x3-7x+y4=16differentiating with respect to x on both sides we get…

Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: Find the derivative of y with respect to T. Y=t( ln 10t)^2

A: Use the derivative of the form f = uv