# 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 can I integrate #sin^2 xcosx#??

What is the derivative of #sqrt(4x)#?

How do you find the linearization of #f(x)=x^3# at the point x=2?

How do you evaluate the definite integral #int -8/3*2^xdx# from -2 to 9?

How do you find the limit of #((t^2)+(5t)) / (cosh(t)-1)# as t approaches 0?

For what values of x, if any, does #f(x) = 1/(x^2-4x+4) # have vertical asymptotes?

What is the slope of the tangent line of #sqrt(y-e^(x-y))= C #, where C is an arbitrary constant, at #(-2,1)#?

How do you differentiate #f(x)=5x^4-3x^2+2#?

What is the equation of the tangent line of #f(x)=7x^2+3x# at #x=5#?

How do you find the average rate of change of #h(x)=x^2+3x-1# over [x, x+h]?

How do you differentiate #f(x)= (4x^2-1) *ln x# using the product rule?

How do you find the integral of #(2dx) /(x^3sqrt(x^2 - 1))#?

Given #f(x)=root3 (1+3x)# at a=0 and use it to estimate the value of the #root3( 1.03)#?

What' the integral of ln √x dx ? (With the substitution)

How to find the max and minimum of #f(x)= abs(x-1 )+ 2abs(x+5) + 3abs(x-4)# using derivatives?

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

How do you find the derivative for #y= (2x) / (sqrt(x - 1))#?

How do you find the indefinite integral of #int (4sinx)/(3tanx)dx#?

How do you find the derivative of #y=2^(-3/x)#?

How do you use the limit definition to find the slope of the tangent line to the graph #f(t) = t − 13 t^2# at t=3?