71 Calculus Tutorials

These Calculus tutorials are written by experienced educators, all of whom also offer private tutoring lessons. Get the Calculus help you need, whether through these tutorials or through private tutoring lessons.

exponential function

applying both the product rule and chain rule.

chain rule

The chain rule tells us how to take the derivative of their composition d/dx(f(g(x)))=f'(g(x)).g'(x)

Quotient rule

The quotient tells us how to find derivative of the quotient of two functions. d/dx(f(x)/g(x))=d/dx(f(x)).g(x)-f(x).d/dx(g(x))/(g(x))2

product rule

product rule :(f(x)g(x))’=f(x)g'(x)+g(x)f'(x) differentiating trigonometric functions: d/dx(sin(x))=cos(x), d/dx(cos(x)=-sin(x) differentiating logarithmic function: d/dx(ln(x))=1/x

product rule

Product rule (f(x)g(x))’=f(x)g'(x)+g(x)f'(x) Differentiating Exponential function d/dx(ex)=ex

product rule

The product rule tells us how to find the derivative of the product of two functions. d/dx(f(x)g(x))=f(x)d/dx(g(x))+g(x)d/dx(f(x))

power rule

Differentiating negative power the power rule also allows us to differentiate expressions like 1/x2

power rule

The power rule says that if n is a real number, the derivative of xn = nxn-1

Another look on continuous functions.

The definition of Continous Functions may be a little hard to understand, so lets give it another look on how you can conclude that a function is continuous.

A Comprehensive Guide to Extrema and Inflection Points

In Single-Variable Calculus, one of the core concepts that is always tested is determining extrema, inflection points, and saddle points. This is ESPECIALLY the case on the AP Calculus AB/BC exam. This article is a review of the process of finding extrema/inflection points given a function f(x), and understanding the graphical representations of these points.

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