It is used in hyperbolic functions; it's the rule to change a normal trig function into hyperbolic trig function.
Example:
cos(x-y) = cosx cosy + sinx siny
Cosh(x-y) = coshx coshy - sinhx sinhy
Whenever you have a multiplication of sin, you write the hyperbolic version as sinh but change the sign.
also applied when: tanxsinx (sinx)^2 etc...
Hope this helps you
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Chain Rule You can use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related to the product rule and the quotient rule, which gives the derivative of the quotient of two functions.If you want example problems about the chain rule you should check out the related links!Hope this answers your question!
Cramer's rule is applied to obtain the solution when a system of n linear equations in n variables has a unique solution.
A mathematician picks their derivatives from the rules of calculus, which provide systematic methods for finding the derivative of a function. This includes using techniques such as the power rule, product rule, quotient rule, and chain rule. Additionally, they may derive derivatives from first principles using limits. Ultimately, the choice depends on the specific function being analyzed and the context of the problem.
The derivative of 1/lnx, can be found easily using either the chain rule or the quotient rule. It is -1/[x*(lnx)2]
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