Class 12- Differentiation-If y= (e^x - e^-x)\(e^x + e^-x) prove that dy\dx =1-y^2 RD SHARMA EX 11.2- Q 65 Differentiation Formulas 1. d\dx(sin x)=cosx 2. d\dx(cos x)=–sinx 3. d\dx(tan x)=sec2x 4. d\dx(cot x=−csc2x 5. d\dx(sec x)=secxtanx 6. d\dx(csc x)=−cscxcotx 7. d\dx(sin^−1 x) = 1\√1–x^2 8. d\dx(cos^−1 x) = −1\√1–x^2 9. d\dx(tan^−1 x) = 1\1+x^2 10. d\dx(a^x)=a^x loga 11. d\dx(e^x)=e^x 12. d\dx(log x)=1/x 13. Chain Rule: d\dx(uv) = u v’+ v u’ 14. First Principal-f′(x) = lim [f(x+h)−f(x)]/h h→0