Use LONG METHOD DERIVATIVES to find the slope of the tangent line to the curve: f (x) = V7x at point (7, 7)

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the…

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Q: find the derivative using increment method show complete solution thanks, i'll like back y=x^(3)…

A: To find the derivative of y=x3-x-2 using the increment method. Note that the derivative using…

Q: Find the derivative using the appropriate rule or combination of rules. y = tan(x2 + 4x)

A: Consider the given function y = tan(x2 + 4x)

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

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Q: Use the definition of a derivative to find the equation of the tangent line at the given point.…

A: The equation of the tangent line is  y-7x+2=0

Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

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 derivative using the appropriate rule or combination of rules. y = (x3 + cos x)−4

A: Given that, y=(x3+cosx)-4

Q: Get the derivative first. Then find the equation off tangent line and normal line to the curve at…

A: Given , curve y=x/a+a/x point=(a/5,5/2)

Q: Find the derivative. Simplify where possible.  f(x)= ex cosh x

A: Given function is

Q: Choose (a) or (b). The derivative at a point does not exist if the tangent line at that point is (…

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Q: y = tan(x² + 4x)

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Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: How do I find the derivative of this? Isn't it the Quotient rule?

A: Given,

Q: 23. The slope of the tangent line indicates the rate of change of the function, also called the 24.…

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

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: (d) y = πx+π³

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

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 8x' sec(x) y'…

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Q: find the derivative using the appropriate rule or combination of rules. y = sin(x2 + 4x)

A: Given y=sinx2+4x

Q: Use implicit differentiation to find the slope of the tangent line to the curve at the given point.…

A: To find the slope of tangent line of the given curve by using implicit differentiation.

Q: Find the tangent line to the curve y = x^2 −5x + 11 at the point (1, 7). Use the limit definition of…

A: slope of the tangent line is m=dydx at (1,7)   By limit definition of…

Q: Choose (a) or (b ). The derivative at a point is zero if the tangent line at that point is (a)…

A: Given: The derivative at a point is zero if the tangent line at that point is (a) horizontal (b)…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 6x° sec(x) y'…

A: y=6x5.secxdifferentiate w.r.t.xApply the Product Rule:  f·g'=f…

Q: Shows the derivative function of: TC = Q³ + 2Q²  + FC(Q), where TC = Total Cost and FC = Fixed…

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Q: Find the derivative using the appropriate rule or combination of rules. y = (x3 + cos x)−4

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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: y=e* sin(x)

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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: Use the Product Rule or the Quotient Rule to find the derivative of the function.

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Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

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Q: Find the derivative of f(x) = sin (x) and find an equation of the tangent line to the curve f(x) at…

A: We have to find f'(x) and tangent line.

Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 2xy9+xy =…

A: We have to find slope of tangent line using implicit differentiation of the curve 2xy9+xy=6 at the…

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

Q: Choose (a) or (b). The derivative does not exist if the tangent line is: (a) horizontal (b)…

A: The derivative at a point is equal to the slope of tangent line to the curve at that point. Now for…

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

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

A: Given :          2x2+y22 = 25x2-y2  , 3,1

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 2θ

A: Given, y=csch-12θ

Q: Calculate the derivative of the function y=arccos x arctan x at x=0.

A: Differentiating with respect to x, we get

Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is…

A: Given:y=sinxcosx,     [0,2π]

Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 x/2

A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

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

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Q: By using the definition of the derivative, find the slope of the tangent line to the curve y = 4x −…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve 2-x +x-y+ 2·y² = 5…

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Q: 1+ In ху 3D e*-У, (1, 1) ex-y, ||

A: Given : 1+lnxy = ex-y