Find all differentiable functions.

Find all differentiable functions f : R ---> R such that (f composed f) = f. R = All Real Numbers (f composed f) = the function f composed with itself

Convergence or divergence, absolute or conditional

Sigma infinity above and n=2 below times (1/(n*ln^2*n).

Functions: Limits

what is lim (sin x) / (1-cos x) as x approaches 0?

Partial derivatives

Find partial derivatives dw/ds, and dw/dt where (d substitued for symbol, my equation writer seems not to be working) w=x^2-y^2 x=cos t y=s sin t s=3 t= Pi/4

Convergence or divergence

Test for convergence or divergence, absolute or conditional. If series converges and it is possible to find the sum, then do so. SUM n=1 of 2n+1 / n^2 +2

Series Convergence: Two-sided Estimator

Please see the attached file for the fully formatted problems. A simple technique to estimate values of the finite sums of reciprocals to natural numbers raised to positive power and to define if corresponding infinite series converge. Deduce two-sided estimator for the sums of the positive powers (p) of reciprocals to nat ...continues

Find the partial derivatives

Find partial derivatives for w/s and w/t where: w=x^2-y^2, x=cos t, y=s sin t, s=3, t=pie/4

Find both first partial derivatives.

A) z=y^3-4xy^2-1 B) first partial derivative WRT x,y,z for : w=3xz/(x+y)

partial derivatives

find partial deriv's w/r and w/theta using appropriate chain rule for : w=the square root of (25-5x^2-5y^2), where x=r cos theta, y= r sin theta.

Find g'(2) given f(2) = 2 and f'(2) = 3

Assume that f/g (x) = x^2 + 2x, where f and g are differentiable functions such that f(2) = 2 and f'(2)= 3. Find g'(2).