If f(x) = x' = 4x² + 10 determine the contavity when x=1. Hint: First find the second derivative O[® iSreither concaveup nor down when x=1 O fX is conEave up when X O f is corCƏve down when x=1.

Q: 5) Find the derivative of each of the following functions. a) f(x) = (3x- 6x - 7) %3D b) g(t) = V4t-…

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Q: Find the third derivative of ƒ (z) = VT2z+I. f" (z) =

A: We use the exponent rule and chain rule.

Q: Q1. Derive the following formula for approximating the derivative f' and show that it is O(h) by…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The formula and O(h4)…

Q: 9) y = 3x² + 7x – Vx Find the derivative

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Q: answer. 3. Given f(x) = ln(5x + 3)2, find f'(0), Your answer should be exact-no %3D decimals!

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Q: se show all No work, n redits. 1) Use the definition of the Derivative of a Function at a Point to…

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Q: Find the area of the region bounded by the graphs of the functions y=9-x² and y=x+3.

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Q: Let f(x) = 2x² – 12x + 3. For what x-value isf' (x) = 0? x =

A: To find: The values of x at which f'(x)=0. Given information: The function is f(x)=2x2-12x+3.…