the equation of the line tangent to the curve y ^ 2 * ln(x) + x ^ 2 * y = 3 at the point (1, 3) . Use implicit differentiati

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: fla)=-sinx (): In, Cosx

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Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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Q: y3D(i+sinx)(I-sinl)!

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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 points on the graph of f where the tangent line is horizontal. tangent line is 3x^2-16…

A: The tangent line is horizontal where y'=0

Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: Use differentials to estimate the value. estimate =  exact value =

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Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: find the equation of the tangent lines using implicit differentiation 2xy+x^2=3 at (-1,1) and…

A: Given: Equation of the curve,       To determine: Equation of the tangent line at (i) (-1, 1) (ii)…

Q: Explain the concept of differentiation and integration.

A: Differentiation and integration are the process of calculus in mathematics. In differentiation, we…

Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: y=9 arctan (x+sqrt(1+x^2) )

A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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

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Q: Please help. *Find the slope of the tangent line to the given curve below at (5,3). y² - 2x + 5=0.…

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Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find the derivative of: y? – 4x = 0 at point (4,4)

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Q: Find the derivative of the function without using the Quotient Rule. y =

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Q: Compute the derivative using derivative rules that have been introduced so far y = ex-12

A: To differentiate y=ex-12, with respect to x, apply the exponential rule of differentiation,…

Q: Find the derivative of the function f(x) = cosh(8x + 1)

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Q: 1 y = ┤㈑┤慈┤

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Q: q? sin-! メ

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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 equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: Given equation of curve is (x2+y2-y)2=x2+y2 Differentiate both sides with respect to x.…

Q: Find an equation of the tangent line to the graph of the equation at the given point. x + x arctan y…

A: We can find the equation of tangent line with all steps as below.

Q: Use implicit differentiation to find the slope of the tangent line to the curve 3-x-y – 5-x-y=-2 at…

A: Here we use implicit differentiation to findslope of the tangent line to the curve3xy3-5xy=-2 at the…

Q: Find by implicit differentiation when ry sec(y) 1+y* 3 -

A: The given equation is:xy3secy-3=1+y4

Q: Find the derivative of the cotangent function y=cotx

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Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: Find the derivative of y = arctan(x) by using implicit differentiation on x = tan(y).

A: Consider the provided function y=arctan(x).

Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: Find the derivative of y = etan x %3D

A: Giveny=etanxTo findderivative of y.

Q: Find the derivative of ry = -3+x*y° using implicit differentiation.

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Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: Determine the derivative of y. y = eV14x+6 %3D

A: Please refer the attached image for complete solution.

Q: What is the Derivative of yx

A: f(x) = yx

Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

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Q: Find the derivative of the function without using the Quotient Rule. y = -

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Q: Find the slope of the tangent line to the curve y-x+5 0 at the points (6, 1) and (6,-1) in two ways:…

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Q: Find the derivative car (x+y) = yrinx

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find the derivative of the function y using the increment method or three- step rule. vx +1

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Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x