New posts in Derivatives

Derivative of Arctangent with definition of derivative

The proofs of limit laws and derivative rules appear to tacitly assume that the limit exists in the first place

Why should we use the fundamental definition of derivative while checking differentiability?

Let $a,b,c\in\mathbb{Z}$, $1<a<10$, $c$ is a prime number and $f(x)=ax^2+bx+c$. If $f(f(1))=f(f(2))=f(f(3))$, find $f'(f(1))+f(f'(2))+f'(f(3))$

A Combinatorial/Algebraic Solution to Combinatorics Identities Exercise

Multivariable Chain Rule Formula doesn't make sense to me

$\frac{d}{dx}(\sin(x^{\frac{1}{3}}))$ from first principle

Prove $|f(x)-p_{3}(x)| \leq \frac{1}{384} \max\limits_{0 \leq x \leq 1}|f^{(4)}(x)|$

Find $\lim_{x \to \infty}{\frac{(x+1)^{\frac{2}{3}}-(x-1)^{\frac{2}{3}}}{(x+2)^{\frac{2}{3}}-(x-2)^{\frac{2}{3}}}}$

$\lim_{x \to 0}{\frac{\sinh(x)-\sin(x)}{x(\cosh(x)-\cos(x))}}$