# 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

What are the points of inflection, if any, of #f(x)=x^(1/3) #?

How do you use the chain rule to differentiate #f(x)=sqrt(sqrt(5x^3-sec(x^2-1))#?

If (below), then f'(x) = ? (A) 3 (B) 1 (C) -1 (D) -3 (E) -5

What is the equation of the tangent line of #r=5theta + 2sin(4theta+(2pi)/3) # at #theta=(2pi)/3#?

How do you find the limit of #x^(sin(x))# as x approaches 0?

How do you evaluate the integral #int x^4/(x^2-1)dx#?

How do you find the maximum value of # Y= -2(x+5)²-8#?

How do you find the antiderivative of #int sinx/cos^3x dx#?

How do you differentiate #(3x-4/x)^2 (1-x+7x^2)^4#?

How do you find #lim sintheta# as #theta->oo#?

A superball that rebounds 3/10 of the height from which it fell on each bounce is dropped from 38 meters. ?

What is the arc length of #f(x)=(3x)/sqrt(x-1) # on #x in [2,6] #?

How do you find the derivative of # f(x)= (x+1)/sqrtx#?

How do you find the volume of a solid obtained by revolving the graph of #y=9x*sqrt(16-x^2)# over [0,16] about the y-axis?

Show that the tangent to #f(x) = sinx# at #x=1# and the tangent to #g(x) = sin^-1x# at #y=1# are equally inclined to #y=x#?

Is #f(x)=cosx# concave or convex at #x=(3pi)/2#?

How do you find the derivative of #(arcsin(x))^(2)#?

What are the critical values, if any, of # f(x)=cscxtanx-sqrt(xcosx) in [0,2pi]#?

In the limit #lim sqrt(x^2-4)=0# as #x->2^+#, how do you find #delta>0# such that whenever #2<x<2+delta#, #sqrt(x^2-4)<0.01#?

If #f(x) = -x^2 -2x# and #g(x) = e^(x)#, what is #f'(g(x)) #?