$\frac{d}{\mathrm{dx}}\left\lbrack\arcsin u\right\rbrack=\frac{u^{\prime}}{\sqrt{1-u^2}}$ $\frac{d}{\mathrm{dx}}\left\lbrack arc\cos u\right\rbrack=\frac{-u^{\prime ...

The [[Derivative of an Inverse Function]]: Let f be a function that is differentiable on an interval I. If f has an inverse function g, then g is differentiable at ...

Week 4: Basic Functions II (2 hrs): Circular functions (trigonometry ... function (inverse of the exponential); properties of the logarithms; hyperbolic functions (link with the exponential function).

Modern periodic law and present form of the periodic table, s, p. d and f block elements ... reactions (addition of HCN. NH3, and its derivatives), Grignard reagent; oxidation: reduction (Wolf ...

Let’s discuss the APICET section-wise weightage of Communication Ability in the table below for the right guidance for the candidates. The APICET exam syllabus is divided into three subjects i.e ...

The UPSC has released the admit cards for the National Defence Academy & Naval Academy Examination (I), 2025, also known as NDA 1 2025, on April 3. The exam is scheduled for April 13, 2025.

Chemistry: Had electrochemistry, bonding, periodic table (2–3), mole concept, and P-block and D-block questions. Some were directly from NCERT. Maths: Questions were asked from conic sections (5–6), ...