If f"(x)>0 on an interval I then...

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

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Q: et f and g denote differentiable functions. If f'(x) = g (x), then f(x) = g(x).

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Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

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Q: Is this function analytic fizz=. (1 +x)? +y2 2

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Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: -2 Find the interval(s) where f(x) =- 64-x2 is continuous.

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Q: Need help with number 2

A: we have to differentiate two times of f(x) ,where f(x) is given by

Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: True or False? If f (c) is a local min, then f"(c) must be positive.

A: the given statement is: If f (c) is a local min, then f"(c) must be positive. we have to determine…

Q: Let f be the function given by f (x) = 3*. For what value of x is the slope of the tangent line to…

A: Given, fx = 3x  We have to find the value of x at which the slope of the tangent line to the curve…

Q: fünction and its graph are given. f(x) = x3 + 3x² 3 16х — 20 %3D y 100 50 - 10 -5 -50 (a) From the…

A: To find the properties of f'(x) and f"(x) from the graph of the function.

Q: Let f(x) = 8 - x f-¹(x)

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Q: Find the absolute extrema of the following function on the indicated interval.  f(x)=x^3+2x^2-3x+4…

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Q: f'. 17. Use the graph of f' shown to graph f" and a possible graph of f. 4 6

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Q: The graph of f", consisting of two line segments and a semicircle, is shown on the right. Given That…

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Q: If f"(x) = x*+2x - 15x, then on which of the following intervals is f concave up? (-5,0) (3,00)…

A: Given f''x=x4+2x3-15x2