Calculus Tutoring

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
over with you San Diego Tutor. San Diego Tutor has put together a great team of in
home tutors in your area to help with calculus. CONTACT US today for more information
on getting a calculus tutor in the Del Mar, La Jolla, Carmel Valley, Poway, Rancho
Santa Fe and Scripps Ranch areas.
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Helpful Calculus Formulas

Differentiation 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)

Integration Formulas

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

Sample Problems

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 practiceproblems@sandiegotutor.com and one of our representatives will contact you.

Integrate the following equations

1)∫xdx

2)∫x2dx

3)∫2x3dx

4)∫2x3 + 5x dx

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