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.

exponential function

y=v(u(x)) — dy/dx=v'(u(x)).u'(x) (1) d/dx(sinx)=cosx (2) d/dx(cosx)=-sinx (3) d/dx(tanx)=(secx)2

Differentiating related function

d/dt(sinx(t))=d/dx(sinx).dx/dt d/dt(cosy(t))=d/dy(cosy).dy/dt

Radical Equation

There are many kinds of equations out there in math. One of them is the radical equation. The radical is this, √, but this is actually a square root, but I will explain. Each of these equations has the same basic concept of trying to isolate the variable to try to make it equal. In…

Usages of Genetic Engineering

There are uses of genetic engineering that can benefit the society. Once again, I reiterate the definition of genetic engineering, which is the direct modification of the characteristics of an organism by manipulating its genetic material by using biotechnology.

Reasons for Genetic Engineering

Genetic engineering is the direct modification of the characteristics of an organism by manipulating its genetic material by using biotechnology. Obviously there are pros and cons for genetic engineering, but for this tutorial, I will state the pros.

Acids and Bases

In the pH scale, there are acids and bases from 0 to 14. The acids are from 0 to less than 7. The nases are from more than 7 to 14. However, there are even stronger acids and bases that goes below 0 and above 14. If you use a litmus paper, red represents the…

Differentiating using multiple rules

We will need to use the product rule and chain rule

Differentiating using multiple rule

using the chain rule and product rule

Parametric functions differentiation

In general, to find the derivative of a function defined parametrically by the equations x=u(t), y=v(t), we use the following rule dy/dx=(dy/dt).(dt/dx)=v(t)/u(t)

Second Derivative parametric function

x=u(t) dx/dt=U'(t) y=v(t) dy/dt=v'(t) dy/dx=dy/dt.dt/dx d2y/dx2=d/dt(dy/dx).dt/dx

^