सिद्ध कीजिए R पर `f(x) =e^(2x)` से प्रदत्त फलन वर्धमान है

Show that f(x)=e^(2x) is increasing on R .

Show that f(x)=e^(2x) is increasing on R

Show that f(x)=e^(2x) is increasing on R

फलन f(x) पर अवकलनीयता

Which of the following are one-one ,onto (or) bijections? Justify your answer. (i) f: R to R, f(x) =(2x+1)/3 (ii) f: N to N, f(x) = 2x+3 (iii) f:[0, infty) to [0,infty), f(x) = x^(2) (iv) f: R to R, f(x) =x^(2) (v) f: R to (0, infty), f(x) = 5^(x) (vi) f: (0, infty) to R, f(x) = log_(e)^(x) (vii) f: R to R, f(x) = {{:(x, if x gt 2),(5x-2, if x le 2):}