Linearize f(x)=√√√2-x for a = 1 and use it to approximate the value of √1.6. L(x) =

Q: Let f be the function given by f(x)=√x² - 9x² Find f'(x).

A: Formula Given function

Q: Find the points of inflection of the function f(x)=e−x2.

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Q: Approximate the value(s) of x that satisfies the equation lnx =x2 −1.

A: The given equation is: lnx=x2-1 To find the approximate value of x that satisfies the given…

Q: Find the inverse function to y=F(x)=5sqrt(x+3) X=G(y)=

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Q: Calculate R4 (right endpoints) and L4 (left endpoints) for f(x) = 8x2 + 2x + 1 on (0, 2]-

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Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: Calculate L6 for f(x) = V6x + 2 over [1,3]. (Give your answer to three decimal places.) L6 2

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Q: h (x) = x" – xV2

A: We have to differentiate the function: hx=xπ-x2 We know the formula of differentiation,…

Q: et y = f(x) = (4√x + 6) (6√x+8) (7√x+6). Find the derivative function f(x) and evaluate it at x = 1.…

A: We have to find the derivative

Q: Differentiate the following and simplify. Show all work, thank you! Part ( a) and (b).

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Q: Differentiate the function   f(x) =    5  - 1 /x

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative