(a) Find the local linearization of near x = 0: 1+6a f(x)= 1+6x2 1 1+ 6x (b) Using your answer to (a), what quadratic function would you expect to approximate g(x) 1 1+6x² ? (c) Using your answer to (b), what would you expect the derivative of 1 to be even without doing any differentiation? 4 (16²) 20 1+622

Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

A:

Q: (b) Using the Power Rule for differentiation, find the derivatives for the following functions: (i)…

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Q: • Find the derivative of y = 5x2 in the following three ways, using algebra to make sure you get the…

A: y= 5x2/3√x

Q: Graph the function Y2=nDeriv (“originalfunction”,X,X). By doing this, you’re having the calculator…

A: Please write this statement properly,  Graph the function Y2=nDeriv (“originalfunction”,X,X).    It…

Q: Consider the following. f(x) = 4x² - 8 Find the following values of the function. f(2 + Ax) = f(2) =…

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Q: Find the derivative of the following: a.) f(x) = 5x6 +- 3x3/5 x3 b.) f(x) = (x' + 4x)(x5 – 2) (Hint:…

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Q: f(x) = (2x − 1) (x³ — 2) ²

A:

Q: (a) (b) f(x) = 205√x - 15/9 x ²³-10x95 -5x4+x-3-2x -X3 m(x)=

A: (a) f(x)=20x5−159x−3−10x4/5

Q: The slope of the tangent line at any point on the graph of f(x) = 7x2 + 4x is given by the…

A: Given f( x ) = 7x2 + 4x f'( x ) = limh→0f( x + h ) - f( x )h