Thread: sinh(x)

How come is increasing?

Originally Posted by tsal15

How come 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.

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.

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