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How come $\displaystyle sinh (x)$ is increasing?

Quote: Originally Posted by tsal15 How come $\displaystyle sinh (x)$ 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.

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 :)