# sinh(x)

• Nov 10th 2008, 04:06 PM
tsal15
sinh(x)
How come $sinh (x)$ is increasing?
• Nov 10th 2008, 04:13 PM
Prove It
Quote:

Originally Posted by tsal15
How come $sinh (x)$ is increasing?

Its derivative is cosh(x), which is positive for all x.

Since the derivative is always positive, that means that all tangents on sinh(x) have positive gradient, and so sinh(x) is increasing over all x.
• Nov 10th 2008, 04:16 PM
tsal15
Quote:

Originally Posted by Prove It
Its derivative is cosh(x), which is positive for all x.

Since the derivative is always positive, that means that all tangents on sinh(x) have positive gradient, and so sinh(x) is increasing over all x.

Cheers thanks :)