


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 is the equation of the tangent line of #f(x) =arcsin(cosx)# at #x=pi/4#?
How do you integrate #dy / (4(y^(1/2))#?
How do we differentiate #sqrt(2sin(sqrtx))#?
How do you differentiate the following parametric equation: # x(t)=3(t+1)^2+2e^t, y(t)= (t+2)^2+t^2#?
How do you determine whether the function #f(x) = x/(x^2 - 5)# is concave up or concave down and its intervals?
How do you integrate #(x^2 + 2x -5) / [(x - 2)*(x+1)*(x^2+1)]#?
How do you use the chain rule to differentiate #y=(cosx/(1+sinx))^5#?
How do you find the antiderivative of #f(x)=(x^3-2x^2+x)/x#?
What is lower Riemann sum?
How do you evaluate # x^(ln(7)/(1+ln(x)) # as x approaches infinity?
How do you evaluate the integral #int arctansqrtx#?
How do you find the indefinite integral of #int (x+1/x)^2dx#?
Let l be the line that passes through the point P=(−5,−7,−1) and is perpendicular to the plane 8x−6y−1z=15, how do you find the parametric equations?
How do you use the chain rule to differentiate #y=root5(x^2-3)/(-x-5)#?
#int(x^2+x+2)/{(x-1)(x-2)}dx# with respect to x ?
How do you differentiate #f(t)=sin^2(e^(sin^2t))# using the chain rule?
What is the vertical asymptote of ln(x)?
Differentiate the following from first principles: (a) #y=10x# (b) #y=6-5x+x^2#?
Is #f(x)=x^2-x# increasing or decreasing at #x=1#?
How do you integrate #intx(4x+5)^3# using substitution?