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Calculus AP
f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f ′(x). What is the value of g ′(0.1)? x 0.1 0.2 0.3 0.4 0.5 f ′(x) 1 2 3 –4 5 The answers are: 1 2 4 cannot be
asked by Anon on May 1, 2018 
Calc ii
Let f be twice differentiable with (f(0)=4), (f(1)=8), and (f'(1)=6). Evaluate the integral from 0 to 1 of xf''(x)dx\). I have no clue how to approach this since we don't know what the function is? please help, I've finished every
asked by Anonymous on October 4, 2013 
Calculus
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points) x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3
asked by Henry on February 21, 2016 
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Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x2)4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it
asked by Mishaka on November 12, 2011 
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The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 a)The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. Find
asked by Steven on December 29, 2014

Calculus Please Check my answers
f is a function that is differentiable for all reals. The value of f ′(x) is given for several values of x in the table below. The table: x 8,3,0,3,8 f'(x)4,2,0,4,5 If f ′(x) is always increasing, which statement about
asked by Ke$ha on May 22, 2017 
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Here is a graph of the derivative y' of a continuous, differentiable function. For approximately what values of x between Ã¢Ë†â€™5 and 5 does the original function y have inflection points? Find limit as x approaches 3.5
asked by Prince@18 on December 17, 2016 
Calculus
Decide if the following function f(x) is differentiable at x=0. Try zooming in on a graphing calculator, or calculating the derivative f'(0) from the definition. f(x) = x^4sin(2/x), if x is not equal to 0, and f(x) = 0 if x = 0.
asked by Abigail on February 23, 2011 
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Where are the functions f1(x)=sin(x) and f2(x) = sin(x) differentiable? Use n as an arbitrary integer constant.) f1(x) = sin(x) is differentiable for all x ≠______________ f2(x) = sin(x) is differentiable for all x
asked by Selma on February 11, 2013 
Calculus
Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(x)=0. f(x) = x^(2/3)  1 [8,8] I plugged in both
asked by Maddie on September 26, 2013 
Calculus
f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.1) x .1 .2 .3 .4 .5 f'(x) 1 2 3 4 5 So I know f(x) would be the integral of f'(x) which
asked by Anonymous on May 1, 2018
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