Find the slope of the curve 2xy = In(e*) sin(x) at the point (2,2)

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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Q: Find a function with derivative equal to g(x) = cos(x)e³sin(x)

A: To find a function with derivative equal to gx=cosx e5 sinx

Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

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Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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Q: Find the Equation of tangent line of the function f(x) = 1 + csc(x) – /cos(x) 2n 4+V3 23 At the…

A: Consider the provided function, fx=1+cscx-cosx and the given point 2π3,4+323. Find the equation of…

Q: The curve given by y2+y=x3-x is called and "elliptic curve" Using implicit differentiation, find the…

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Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – /cos(x) At the point (, (2n…

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: Given that y=cos6θ+15 Find dydθ Needed formulae: xn'=nxn-1 cos x'=-sin x ax'=a

Q: find the derivative of y with respect to xas appropriate.11. y = ln 3x + x              12. y = 1/ln…

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

Q: Find  y ″  by implicit differentiation. 2x3 − 5y3 = 5

A: We will differentiate w.r.t x twice using the product rule and the chain rule

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: 2. Use implicit differentiation to find tangent at the given point: (a) xy + y² = 3-3x² at (-1,1).…

A: use implicit differentiation, I try to provide typed solution, if it is helpful like it.

Q: In y=e³ sinx

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Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Find the derivative of y with respect to θ, y=6θ(sin(ln(6θ))+cos(ln(6θ))).

A: To find derivative of y.

Q: 7. Use implicit differentiation to find an equation for the line tangent to the curve 2² + 2xy – y³…

A: Given :           x2+2xy-y3=0

Q: Find the derivative of the function. 1- e3x 1 + e3x y = cos y' =

A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: Find  y ″  by implicit differentiation. 4x3 − 5y3 = 8

A: First we find y' by differentiating  both sides of the given equation. Then find y"  by using the…

Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: Find the derivative of y given that y= x In x et

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Q: Find the derivative of the function y = cosh−1(3x)

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Q: Find y''by implicit differentiation. 2x3 + 5y3 = 2

A: We can find y" using implicit differentiation as below.

Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – /cos(x) (2n 4+V3 2V3 At the…

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (2e-tsin t)

A: On simplification, we get

Q: FIND THE FIRST DERIVATIVE OF THE FUNCTION cos r. y = cosx О а. SIN3X O b. - COS3X О с. COS3X O d.…

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Q: Find the derivative of the function g(x) = (arctan x)³, first showing how to get the formula for -…

A: Consider the function  g(x)=tan−1x3

Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: Find the derivative dy/dx by implicit differentiation: x2+y2-2xy3=7 Show all intermediate steps

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Q: d the equation of the tangent line to the curve at the given point using implicit differentiation.…

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Q: find derivative  1. y = ln (3ue^-u)    2. y = ln (2e-^t sin t)  3. y = e^sin t (ln t2 + 1)

A: find derivative

Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)

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Q: Find the derivative of the function. using chain rule y = sin(sin(sin x))

A: Given: y=sinsinsinx

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

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

Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Compute the derivative ln(ex+1) / 2x+1

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Q: 1) Find the 3rd derivative of y = sin(x) %3D

A: To find the 3rd derivative of y=sinxx. Solution: For finding third derivative, we need to find first…

Q: Find the equation of the tangent line to the curve given by f(x) = x2 ln x at the point  (1, 0)

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Q: Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y…

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

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Q: Find the first derivative of y = cos*x- sin*x.

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Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)

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Q: Find y'' by implicit differentiation. 5x2 + y2 = 4

A: Implicit differentiation

Q: Find and sketch an exponential equation of the form y = Cekx that passes through the points (0, 8)…

A: Given an exponential equation of the form y=Cekx that passes through the points (0,8) and (3,4). To…

Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…

Q: r(x)= cos (3x)

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