# 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 particular solution to #ysqrt(1-x^2)y'-xsqrt(1-y^2)=0# that satisfies y(0)=1?

What is an equation of the line tangent to the graph of #y=cos(2x)# at #x=pi/4#?

What is the derivative of #x^(lnx)#?

How do you differentiate # y =-2e^(xcosx)# using the chain rule?

How do you find the value #a > 0# such that the tangent line to #f(x) = x^2 * e^-x# passes through the origin #(0,0)#?

How do you find the derivative of #g(x)=xsqrtx#?

How do you find the derivative of #(x-1)/(x+1)#?

How do you find the power series representation for the function #f(x)=sin(x^2)# ?

How do you differentiate #y=(e^(2x)+1)^3#?

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

How do you differentiate #f(x)=(ln(sinx)^2-3xln(sinx)+x^2ln(cos^2x^2)# using the chain rule?

What is the Cartesian form of #( -1 , ( 9pi)/4 ) #?

How do you differentiate #f(x)=ln(x^2-sqrt(2x+8)))# using the chain rule?

Can u guys helpe please? Ive been trying to solve two questions and i simply have no luck. They are: Inverse laplace of #s/(s^4+4a^4)# And Inverse laplace of #s/(s^4+s^2+1)# If you guys could gelp me I wpuld be grateful

Does #a_n=x^n/n^x # converge for any x?

What is the Integral of #(x+1)/x dx#?

How do you find the derivative using the difference quotient #f(x) = 5 / (x^2 + 7)#?

How do you find the equation of a line tangent to the function #y=x-2x^2+3# at x=2?

How do you find the derivative of #tan(1/x)#?

How do you integrate #e^7x^3 x^2 dx#?