Help on basic calculus?

Question

pls show me the resolution. those are all basic derivative functions

f(x)= sqr(2x) + 2(sqrx)

f''(x)=???

f(x)= x(sqr(5-x^2))

f''(x)=???

f(x)= (1-5x)^6

f''(x)=???

f(x)=(3x+5)^2 + (1-5x)^6

f''(x)=???

thanks. if anybody has a website with more examples, pls send to me

Answer 1

1)Let's assumeY=sqrt2x or (2x)^1/2+2(x)^1/2

  so dy/dx=(1/2)*2x^(1/2-1)*2 +(1/2*2)x^(1/2-1)

    2x^(-1/2)+x^(-1/2)  =3x^-1/2.

3)(1-5x)^6 dy/dx   =6(1-5x)^(6-1)*-5   = 6(1-5x)^5*-5

-30(1-5x)^5.

they are all same.Am stressed up

Answer 2

I use this site a lot.  It's pretty awesome:

http://mathworld.wolfram.com/