Q: Indeterminate Limit Problem
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Q: Indeterminate Limit Problems
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Function g is defined as g(x) = ex^2 + 1, where x ∈ Real Numbers. Find g'(-1)
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- g(x)=√3-x State the domain for the function and it's derivative using interview notation.The derivative of the function is equal to Select one: O a.e (2* In 2) b. e* (2* In 2 + 1) c. x(2* In 2 + 1) d. e"+*(2* In 2 + 1)Let f and g be functions of x, where a is an unknown constant. What is a valid expression for (-)' if f = ax and 12x² - 2ax (4x³+1)² 6ax -1 +² a 6x -4ax² + 2ax (4x³ + 1)² 3 4x +1 ·? X
- Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and decreasing. Your answer should either be a single interval, such as "(0,1)", a comma separated list of intervals, such as "(-inf, 2), (3,4)" , or the word "none".Given that f(x) = 2x^3+9x^2-60x+70, find it's second derivative and its sign chart. Find when f is concave up, concave down, and its inflection point(s)Consider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Ja
