Hi,can someone help me in finding the limit for (5x)^3/2 using first principle.

((5x+h)^3/2-(5x)^3/2)/h

This is all i got and then I am stuck on it.

Help would be greatly appreciated.

Thanx

One more

(3x+5)^3/2

Thanx in advance

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- Jan 22nd 2010, 10:59 AMcrystal91first princple
Hi,can someone help me in finding the limit for (5x)^3/2 using first principle.

((5x+h)^3/2-(5x)^3/2)/h

This is all i got and then I am stuck on it.

Help would be greatly appreciated.

Thanx

One more

(3x+5)^3/2

Thanx in advance - Jan 22nd 2010, 12:15 PMWilmer
- Jan 22nd 2010, 02:02 PMSoroban
Hello, crystal91!

This is a*killer!*

Quote:

Differentiate using first principles.

We will differentiate . . . and multiply by at the very end.

[1] Find

. . . . . a difference of cubes

. . Factor:. . .

. . Multiply by

. . and we have: .

[2] Divide by

[3] Take the limit: .

. . . . . . . . . . . .

Multiply by