Thread: differentiontion of hyperbolic trigonometry function

is it use same method to do differentiation between hyperbolic trigo and normaal trigo?

if the question ask d/dx(4sinh^5 3x) after i differentiate it, is the answer become 60 sinh^4 3x?

Originally Posted by emperror123

is it use same method to do differentiation between hyperbolic trigo and normaal trigo?

if the question ask d/dx(4sinh^5 3x) after i differentiate it, is the answer become 60 sinh^4 3x?

I suspect your text book will tell you that the derivative of sin(x) is cos(x), the derivative of cos(x) is -sin(x), the derivative of sinh(x) is cosh(x), and the derivative of cosh(x) is sinh(x).
No, the derivative of is NOT . Nor is the derivative of equal to .

The derivative of is times the derivative of which is . That is, the derivative of is .

Now, back to you- what is the derivative of ? What is the derivative of ?

derivation of 4 sinh^5 3x = 60sinh^4 3x cosh 3x
derivation of 4 cosh^5 3x = 60 cosh^4 3x sinh 3x