If y= b", then JExample 2.24: Applying Derivative For 3* Find the derivative of h(x)%3D 3 +2 Solution: Use the quotient rule and Derivatives of

Q: Find the values of A and B such that is differentiable at 2 if д Ax + B if Xx<2 g(x) = { ²

A: if x&lt;2, g(x) =  Ax +B  g(2) = 2A+B;---------------------------------1 if(x&gt;=2), g(x) = 2x^2 -1…

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: Given that y = (2³ – 3) (z + 7). Find the derivative using the product rule and simplify your…

A: If we have a function , where u and v are the functions of x  . Then, by the use of the product…

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

Q: 21. Find dy dx dy =[ dx for y = x(5x +3) 3

A:

Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

Q: Use the chain rule to find the derivative of 4(9x^4−9x^9)^18   You do not need to expand out your…

A:

Q: 8. Find f'(x) where f(x) = 4x² - 3x + 11.

A:

Q: use the reciprocal rule or the quotient rule to determine the derivative of the function.…

A: Given :Bu=u2u+1To find the derivative of the above function using reciprocal rule or quotient rule.

Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1

Q: Find the derivative of the function. y = 2e* +x2

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Q: y" +6y' +10y=0; y(0) = 2, y'(0) =

A:

Q: Use the quotient rule to find the derivative of the function. y= 3x+1 8x+7 What is the correct way…

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Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: 10) Use the product Rule. Find the derivative of f(æ) = (÷+1)(2

A: