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Calculus has always been a subject that students have trouble with. An understanding
of calculus at the high school level is crucial to having success later in life at
the highly competitive university level. Many students struggle with calculus because
the subject is hard to apply to the real world sometimes. Calculus is a discipline
in mathematics that focuses on limits, functions, integrals, derivatives and infinite
series. Making sense of this and showing how this applies to the real world is something
our San Diego Tutors have a lot of experience with. Most of our calculus tutors are
math or physics majors with extensive calculus training. Below, you will find helpful
calculus rules and equations to better guide you through your learning process. In
addition, at the bottom of the page you will find some sample problems you can go
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Helpful Calculus Formulas
d/dx c = 0, c constant
d/dx cf(x) = cf'(x), c constant
d/dx [f(x) ± g(x)] = f'(x) ± g'(x)
d/dx [f(x) * g(x)] = f(x) * g'(x) +
g(x) * f'(x) (product rule)
d/dx [f(x) / g(x)] = (g(x)f'(x) -
f(x)g'(x))/([g(x)]2) (quotient rule)
Remember that u'dx = du and may be
replaced by du.
∫dx = x + c
∫k f(x) dx = k ∫f(x) dx
∫[f(x) ± g(x)]dx = ∫f(x)dx ± ∫g(x)dx
Below you will find some sample calculus problems you may see on one of your exams.
If you would like one of our San Diego Tutor educational specialists to go over the
answers with you, please send your answers to firstname.lastname@example.org
and one of our representatives will contact you.
Integrate the following equations
Differentiate the following equation
1) f(x) = x3
2) f(x) = (x3 + 5x + 9)
3) f(x) = (x4 + 3x2 + 10x)
4) f(x) = ex + ex
Sir Isaac Newton was an English physicist, mathematician, astronomer, natural philosopher,
alchemist, and theologian who is perceived and considered by a substantial number
of scholars and the general public as one of the most influential men in history.