# Emilia Aguilar

Calculus teacher | Experienced educator in USA

I'm a dedicated calculus educator with a passion for empowering students to excel in mathematics. My journey began at Concordia College, where I delved deep into the intricacies of calculus. Armed with this knowledge, I now guide students through the complexities of calculus, fostering a deeper understanding and appreciation for the subject. With a commitment to personalized instruction and student-centered learning, I strive to make calculus accessible and engaging for learners of all levels. Let's embark on this mathematical journey together, unlocking the boundless potential of calculus.

## Questions

How do you find the derivative of #2^xln2#?

How do you evaluate limits of # lim 9/(x-3)^2# where x-3?

The graph of #y=ax^2+bx# has an extremum at #(1,-2)#. Find the values of a and b?

What is the derivative: #g(y) = sqrt[2y + (3y + 4y^2)^3]#?

What is the derivative of #arctan(x^2+1)#?

How do you integrate #int sin^-1x# by integration by parts method?

What is the #n^(th)# derivative of #x^(-1/2) #?

How do you find the instantaneous rate of change for #h(t)=-5t^2+20t+1# for t=2?

How do you find the instantaneous rate of change of the function #y= 5x - x^2# when x=-2?

What is the arclength of #f(x)=(x-2)/(x^2-x-2)# on #x in [1,2]#?

What is the equation of the line tangent to #f(x)=(x-3)^2-x # at #x=-1#?

How do you find the derivative of y in the equation #ln(xy)=x+y#?

How do you find the derivative of f(x) = -2sqrt(x) by the limit process?

How do you use partial fractions to find the integral #int 3/(x^2+x-2) dx#?

How do you find points of inflection and determine the intervals of concavity given #y=xe^(1/x)#?

How do you find the derivative of #3*(sqrtx) - (sqrtx^3)#?

What is the derivative of #f(t) = (t/(t+1) , te^(2t-1) ) #?

How do you differentiate the function #y=tan[ln(ax + b)]#?

Using the integral test, how do you show whether #sum (1/n^2)cos(1/n) # diverges or converges from n=1 to infinity?

Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant of integration.)?