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...
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Answer and Explanation:1 Let {eq}y= \sec^{-1}(x + 2)^2 {/eq} Differentiation wrt x: {eq}\frac{dy}{dx}=\frac{1}{(x+2)^2\sqrt{(x+2)^4-1}} . \frac{d}{dx}(x+2)^2... Learn more about this topic: When to Use the Quotient Rule for Differen...
Show that the derivative of {eq}\;f(x) = \sec^{-1}x \; {/eq} is {eq}\displaystyle\;\frac{1}{x \ast \sqrt{x^{2} - 1}} {/eq}.Question:Show that the derivative of {eq}\;f(x) = \sec^{-1}x \; {/eq} is {eq}\displaystyle\;\frac{1}{x \...
What is the derivative of \sec(x+y)? What is the derivative of (1+sqrt3x)/(1-sqrt3x)? If f(x) = (x^5 + 2x^3)(x^3 + x), then what is the derivative of f(x)? (I.e., Find f'(x) ). What is the derivative of ln(x+9)?
•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...
Find the derivativef(x)=3sec−1(x). Chain Rule of Differentiation: We have a square root of an inverse secant function. There are many rules of differentiation however, we use the chain rule of differentiation in the case of a composite function. The chain rule is mathematically writt...
Derivative of Arctangent Function Derivative of Arccotangent Function Derivative of Arccosecant Function Sources 1989:Ephraim J. BorowskiandJonathan M. Borwein:Dictionary of Mathematics...(previous)...(next): Appendix2 : Table of derivatives and integrals of common functions:Inverse trigonometric functio...
What is the derivative of f(x)=x^2-sec(x) ? The derivative of f(x)=x^2-sec(x) is 2x-sec(x)tan(x) What is the first derivative of f(x)=x^2-sec(x) ? The first derivative of f(x)=x^2-sec(x) is 2x-sec(x)tan(x)...