View Solution sec6θ=tan6θ+3tan2θsec2θ+1 View Solution Ifsec2θ+tan2θ=√3, then the value of(sec4θ−tan4θ)is View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
Derivative of tan x Derivative $f’$ of the function $f(x)=\tan x$ is: \(\forall x \neq \frac{\pi}{2}+k\pi, k \in \mathbb{Z}, f'(x) = 1+\tan ^{2} x\) Proof First we have: \((\tan x)' =\lim _{h \rightarrow 0} \dfrac{\tan (x+h) - \tan x }{h}\)...
Compute the derivative of y=tan3(cos(θ2−4θ)). Chain rule of derivatives: Chain rule of derivative is used to differentiate composite functions. The composite functions are the functions of the form f(g(x)). So, f(g(x))=f′(g(x))×g′(x). Some basic formu...
Derivative f’ of function f(x)=arctan x is: f’(x) = 1 / (1 + x²) for all x real. To show this result, we use derivative of the inverse function tan x. Derivative of arctan x Derivative $f’$ of function $f(x)=\arctan{x}$ is: \(\forall x \in \mathbb{R} ,\q...
List of mathematical functions and constants: •ln(x)—natural logarithm •sin(x)—sine •cos(x)—cosine •tan(x)—tangent •cot(x)—cotangent •arcsin(x)—arcsine •arccos(x)—arccosine •arctan(x)—arctangent •arccot(x)—arccotangent ...
the derivative of f(g(x)) = f’(g(x))g’(x) The individual derivatives are: f'(g) = −1/(g2) g'(x) = −sin(x) So: (1/cos(x))’ =−1g(x)2(−sin(x)) =sin(x)cos2(x) Note:sin(x)cos2(x)is alsotan(x)cos(x)or many other forms. ...
Find the derivative of the following functions: 5secx+4cosx View Solution Evaluate:∫2tanx+33tanx+4dx View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep,...
The meaning of DERIVATIVE is a word formed from another word or base : a word formed by derivation. How to use derivative in a sentence.
Find the derivative of the function. y = e^{cos (ln x + 2)} Find the derivative of the function f(x) = e^{\cos x}(\frac{1}{x} + \ln x) Find the derivative of f(x) = 2^{-x-1}-2 Find the derivative of \sin^{3}(x)\tan(x). Find the derivative of y(t) = te...
(3) Find the derivative of tan x w. r. t. x. 相关知识点: 试题来源: 解析 let fixi-tans f(x+h)=tan(x+h) From the dffnition, f'(x)=ln((1/n))-(f(x+h)-f(x))/h = tanuthi-canky lìn h~0 h 、二 h sinh 二 ? ()) 1)()[()=1 s, f'(x)=tanx,f'(x)=sin^...