Tutorials

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

How to Find Prime Numbers?

Prime numbers are numbers that can be divided by 1 and itself. 1 is not a prime number since it is only divided by 1. It has to have only two factors. For example, 8 is not a prime number because it has more than two factors. We call this a composite number, which has…

Differentiating trigonometric function

(1) d/dx(sinx)= cosx (2) d/dx(cosx)= -sinx (3) d/dx(tanx)= -( secx)2 (4) d/dx(cotx)= -(cosecx)2 (5) d/dx(secx)= secx.tanx (6) d/dx(cosecx)= -cosecx.cotx

Differentiating trigonometric function

d/dx(sinx)=cosx d/dx(cosx)=-sinx d/dx(tanx)=(secx)2

Composite exponential function differentiation

When we differentiate the composite exponential function, we want to use the product rule and the chain rule.

Composite exponential function differentiation

product rule chain rule d/dx(ax)=ln(a).ax

Composite exponential function differentiation

product rule chain rule ln(a)m=m(ln)a

implicit differentiation

Evaluating derivative with implicit differentiation.

Second Derivative

NOTATION FOR SECOND DERIVATIVE Leibniz’s notation is d2y/dx2 Lagrange’s notation is f”

Roman Republic

By around 494 BCE, the plebians revolted and set their base camp outside of the city Rome’s walls. The patricians or the aristocrats helped end the revolt and made a way for plebians and other citizens of Rome to understand the rules. They posted it in the Forum, which was like a metropolitan area.

chain rule twice

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

^