


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)) #?