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Profile
I was a teacher in Srilanka from 1992 to 2006. I took tuition from 1990 to 1991 in India. I do general work in Canada but I help to do homework to my daughters. I finished my teacher's training college diploma in Srilanka. I completed my B.Sc degree course at Bharayiar university in India.
Education
Bsc Mathematics India
Subjects of Expertise
SAT Math, ACT Math, GRE Math, GMAT Math, Pre-Algebra, Algebra 1, Algebra 2, Geometry, Trigonometry, Calculus, Statistics, Pre-Calculus, Elementary Math (K-6th)
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
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
Negative power differentiation
We can rewrite each rational term in the expression as a negative power of x
Derivatives of inverse trigonometric function
the formula for the derivative of arctan(x)=1/(1+x2).
Implicit differentiation
In implicit differentiation, we differentiate both sides of the equation according to x and treat y as an implicit function of x