Calculus

Higher-order Derivatives

Higher-order Derivatives: Level 2 Challenges

         

Given the graph of y=f(x)y=f(x) above, which of the following is a possible graph of y=f′′(x)?y=f''(x)?

Gene Keun Chung by Gene Keun Chung

Find the 2016-th derivative of sin⁡−1(x)\sin ^{ -1 }{ (x) } at x=0x=0.

Give your answer to 3 decimal places.

Image Credit: Flickr Richard Stocker.
Vighnesh Raut by Vighnesh Raut

If a function f(x)f(x) that is differentiable over (−∞,∞)(-\infty,\infty) is monotonically decreasing and lim⁡x→∞f(x)≠−∞,\displaystyle\lim_{x\rightarrow\infty}f(x)\neq-\infty, then as xx approaches infinity, f(x)f(x) is

Show explanation
View wiki
Trevor B. by Trevor B.

y=tan⁡−1(x),k!=d21ydx21∣x=0,     k= ? y = \tan^{-1}(x) , k! = \left. \dfrac { { d }^{ 21 }y }{ d{ x }^{ 21 } } \right|_{x=0}, \ \ \ \ \ k = \ ?

Ronak Agarwal by Ronak Agarwal

Suppose ff is a function defined on the closed interval −3≤x≤4-3 \le x \le 4 with f(0)=42f(0)=42 such that the graph of f′,f', the derivative of f,f, on the interval is as shown in the above diagram. Find the xx-coordinates of the points of inflection of f.f.

Show explanation
View wiki
Lawahar Qasid by Lawahar Qasid
×

Problem Loading...

Note Loading...

Set Loading...