# 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 differentiate #f(x)=(3x)/(x-2)-6/(x-2)# using the quotient rule?

How do you differentiate # f(x)= sin(x-2)^3 # using the chain rule.?

What is the derivative of #y=5^sqrt(s)#?

How do you differentiate #f(x)=(x+1)/sqrtx# using the quotient rule?

How do you differentiate #f(x) = x^3/sinx# using the quotient rule?

What is the arclength of the polar curve #f(theta) = 2tan^2theta+cos3theta # over #theta in [0,(5pi)/12] #?

What is the limit of #x^(1/x)# as #x->oo#?

How do you find the indefinite integral of #(10e^(-2x^5))/x^6 dx#?

What is the derivative of #f(x)=sin^2(3x)#?

How do you find the integral of # [ (1+cos^2(x)) / sin(x) ] dx#?

How do you find the global extreme values for # y=x^2-6x-1# on [-2,2]?

How do use the first derivative test to determine the local extrema #f(x)=x^3 - 9x^2 + 27x#?

What is the distance between the following polar coordinates?: # (6,(17pi)/12), (5,(9pi)/8) #

How do you use logarithmic differentiation to find the derivative of #y=(tanx)^(1/x)#?

#lim_(x rarr 4) (3 - sqrt(5 + x))/(1- sqrt(5 - x)) = ?#

How do you differentiate #f(x)=sin2x-cos3x#?

How do you find the integral of #int sin^n(x)cos^m(x)# if m and n is an integer?

What is the volume of the solid given the base of a solid is the region in the first quadrant bounded by the graph of #y=-x^2+5x-4^ and the x-axis and the cross-sections of the solid perpendicular to the x-axis are equilateral triangles?

How do you integrate #x(x²+1)³ dx #?

Find dy/dx when (A) #y= sqrtlnx# , (B) y= arctan 5x ?