In its simplest form, l'Hôpital's rule states that for functions f and g which are differentiable on I\ {c} , where I is an open interval containing c:
If, and exists, and for all x in I with x ≠ c,
then.
^from wiki
L'Hospitals rule states that for a function f(x) = g(x)/h(x) if the limit of g'(x)/h'(x) exists and is equal to a value, then the lmit of f(x) is also equal to that value.
Partial differential equations are great in calculus for making multi-variable equations simpler to solve. Some problems do not have known derivatives or at least in certain levels in your studies, you don't possess the tools needed to find the derivative. So, using partial differential equations, you can break the problem up, and find the partial derivatives and integrals.
Some people find some calculus difficult, some don't.
Calculus is the mathematics of trajectories. I would recommend a Calculus class as it is very difficult to understand independently.
Derivatives are used to find instantaneous rate at which a function changes.
That is not an easy question to answer. Many people find math hard in general and certainly some people find calculus hard to understand.Multivariable calculus is not really harder than single variable calculus. It is lots of fun since you learn about double and triple integrals, partial derivatives and lots more.I strongly suggest it for anyone who is thinking about taking it.
L'Hospitals rule states that for a function f(x) = g(x)/h(x) if the limit of g'(x)/h'(x) exists and is equal to a value, then the lmit of f(x) is also equal to that value.
To find higher order derivatives efficiently, one can use the power rule, product rule, quotient rule, and chain rule in calculus. These rules help simplify the process of finding derivatives of functions with multiple variables or functions nested within each other. Additionally, using computer software or calculators can also aid in quickly calculating higher order derivatives.
Partial differential equations are great in calculus for making multi-variable equations simpler to solve. Some problems do not have known derivatives or at least in certain levels in your studies, you don't possess the tools needed to find the derivative. So, using partial differential equations, you can break the problem up, and find the partial derivatives and integrals.
derivatives are the functions required to find the turning point of curve
Some people find calculus easier, others find physics easier. There is no general answer.
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Some people find some calculus difficult, some don't.
There are many websites where someone can find a list of valuable calculus formulas. Examples include Wikipedia, MIT, Calculus and Carinsurance Calculator Online.
Clamor derivitives
No calculus is harder, because calculus is basically a combination of algebra and trigonometry, so you need algebra to do calculus. Also, calculus involves limits, differentiation, and integration. Integration makes algebra look like kindergarten. +++ Meaningless question, ditto with the answers I'm afraid. These are not separate entities but all fields of mathematics, and you use algebra in expressing and solving mathematical problems. Calculus is NOT "basically a combination of algebra and trigonometry". You can differentiate and integrate trig. functions, but although calculus alone does not rely on trigonometry for its existence, its manoeuvres are all algebraic steps. As to comparative difficulty, that is entirely down to you. If you find algebra difficult you will find trigonometry and calculus difficult, because algebra is used to describe those two (and any other) mathematical process. Algebra is not an isolated topic!
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