Find the differentiation ofy=tan−1(secx+tanx) 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, NEET preparation and CBSE, UP Board, Bihar Board, Ra...
The derivative of the rational function {eq}\displaystyle h(x) = \frac{f(x)}{g(x)} {/eq} can be evaluated using the quotient rule of differentiation as,{eq}\displaystyle h'(x) = \frac{d}{dx} \frac{f(x)}{g(x)} = \frac{f'(x) \cdot g(x) -...
y = \dfrac{(x^3+1)^4 e^{5x^2}(1+\tan^2 x)}{\sqrt{1+2x^4} \cot^2(x^2+1)} Use Logarithmic differentiation to find y' y = e^4x (4 - 3x)^3/x^2 squareroot 1+ 2x Use logarithmic differentiation to evaluate f'(x) \ if \ f(x) = \frac {x^8 ...
Dcosx =−sinx (derivatives of cotrigs always have minus signs.) Dtanx =sec 2 x =1+tan 2 x Dsecx =secxtanx De x =e x Dlnx =1/x Domain of derivative: x >0. Dln|x| =1/x Darctanx =1/(1+x 2 ) Darcsinx =1/ √ 1−x 2 Darccosx =−1/ √ 1−x 2 2 Dcoshx...