NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Find the derivative of the following function with respect to 'x' : 1−tanxsecx View Solution Find the derivative to sec(tan−1)x with respect to 'x' View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class...
•csc(x)—cosecant •arcsec(x)—arcsecant •arccsc(x)—arccosecant •arsech(x)—inverse hyperbolic secant •arcsch(x)—inverse hyperbolic cosecant •|x|,abs(x)—absolute value •sqrt(x),root(x)—square root •exp(x)—e to the power of x ...
loga(x) 1 / (x ln(a)) Trigonometry (x is in radians) sin(x) cos(x) cos(x) −sin(x) tan(x) sec2(x) Inverse Trigonometry sin-1(x) 1/√(1−x2) cos-1(x) −1/√(1−x2) tan-1(x) 1/(1+x2) RulesFunction Derivative Multiplication by constant cf cf’ Power Rul...
Answer and Explanation:1 Let the given function be {eq}y {/eq} then we have: {eq}y=\sec x (\tan x - \sec x) {/eq} The derivative of {eq}y {/eq} with respect to... Learn more about this topic: Finding Derivatives of a Function | Overview & Calculations ...
For instance, {eq}\tan~x~=~\frac{\sin~x}{\cos~x},~\csc~x~=~\frac{1}{\sin~x} {/eq} and {eq}\sec~x~=~\frac{1}{\cos~x} {/eq}. But what is cot x? The cotangent function is the reciprocal of a tangent, meaning that it is given by {eq}\cot~x~=~\frac{\cos~x...
The derivative of sec^2x is equal to 2 sec^2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
: Table of derivatives and integrals of common functions:Inverse trigonometric functions 1998:David Nelson:The Penguin Dictionary of Mathematics(2nd ed.)...(previous)...(next): Appendix: Table1 : Derivatives 2008:David Nelson:The Penguin Dictionary of Mathematics(4th ed.)...(previous)...(next...
1. If y = (2x + 1)^5, find \frac{dy}{dx} 2. Find First derivative: y = x^2 cos^2(2x^2) Find the first derivative of y = sec^{-1} (x^2) Find the first derivative of 6x + 4x \ln y + y^2 = x^2. Find the first derivative of: y = si...
Find the derivative of tan (sec x).Chain-Rule:The derivatives of composite functions can be evaluated by the help of chain rule. The chain rule is an important method to understand derivatives that how it can be generated from functions....