What is the derivative of $f (x) = arctan (e^{x})$ ?

Practise more Advanced Differentiation and Theoretical Calculus.

Free questions with an explanation for every one, and full timed Panhellenic Examinations (Greece) mock tests.

All Advanced Differentiation and Theoretical Calculus questions Take a mock test

More Advanced Differentiation and Theoretical Calculus questions

If $x^{2} + y^{2} = 25$ , what is the second derivative $\frac{d ^{2} y}{d x ^{2}}$ at the point $(3, 4)$ ?
Let $f$ be twice differentiable on $R$ with $f^{''} (x) > 0$ everywhere. Which statement about the tangent lines is true?
What is the derivative of $f (x) = ln (sec x + tan x)$ for $x \in (- π /2, π /2)$ ?
On which interval is the function $f (x) = x - ln x$ strictly increasing?
If $f$ is differentiable on $[0, 2]$ with $f (0) = 1$ and $f^{'} (x) \leq 3$ for all $x \in (0, 2)$ , what is the maximum possible value of $f (2)$ ?
How many inflection points does the polynomial $f (x) = x^{4} - 6 x^{2} + 5$ possess?