Calculus Answers

y=(1-x square+x cube)(3x+6) differentiate it w.r.t x

y=x.(whole underoot of 2x square -1 )differentiate it w.r.t x

y=underoot of x + 1/underoot of x .....differentiate it w.r.t x

y=(x+1/x)(x square-1/x square) differentiate w.r.t x

Which of the following statements are true? Give reasons for you answer. (This means that if you think a statement is false, give a short proof or an example that shows it is false. If it is true, give a short proof for saying so. For instance, to show that {1, Padma, blue} is a set’ is true, you need to say that this is true because it is well defined collection of 3 objectives.) (i) The domain of the function f given by f(x) equal to under root (x square +2/x square -1 Is R/(1)

Evaluate
1) lim x tends to 7 ( Under root 7 x)-7/ under root (3x-8)- under root 13

2) lim x tends to a ( (1/a-x)-(a/a square -x square) )

Show that f given by f(x) equal to x sin 1/x if x is not equal to 0 and f(x) equal to 0 if x equal to 0 is continuous at each point of R

Check whether the function f:R to R given byf(x) equal to mode x - (x) is one one onto give reason for your

If f(x) equal to(1/x) to the power x show that f''(1) equal to0

Find the n th derivative of x/x square + a square