Consider f(x) = 5x-3 - 41/x^2 c) Find the equation of the tangent line at x = 2 to the graph of y = f(x) d) Use this tangent line to approximate f (2.03)

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A:

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A: For the inflection point, second derivative is equal to zero.

Q: f(x) = 3x².³√x² + 5t +e" find the derivative

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Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

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Q: Find the derivative the following functions. a) h(x) = 4√√x+3x8 +5ex + π² x³-6x²+8x b) g(x) x²-2x =

A: The given functions are The aim is to find the derivative of the given functions.

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A: We havey= (2x-x3)(x2 + e-x)

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A: Given

Q: A1) Using the definition of derivative, find the derivative of f (x) = x2 + 3x +:

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: 6 5) Consider the function f(x)==-x² +2 x a) Find and sketch the tangent line to fat the point…

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Q: f(x) = x? + 5æ + 7 Find the slope of the tangent line at x = 5. Tangent slope:

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Q: d Use the Product Rule to find the derivative [(x + 3)(3x + 8)]. dx Answer

A: Explanation of the answer is as follows

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)