Luke Alvarez
Calculus teacher | Tutor for 6 years
I hold a degree in Calculus from the Fashion Institute of Technology. My passion lies in deciphering the intricate language of numbers and functions. Through personalized tutoring sessions, I strive to demystify calculus concepts, making them accessible and engaging for students. With a deep understanding of mathematical principles and real-world applications, I empower learners to conquer challenges and unlock their full potential. Whether it's derivatives, integrals, or differential equations, I am committed to fostering a supportive learning environment where curiosity thrives and mathematical fluency flourishes. Join me on a journey of discovery and mastery in the world of calculus.
Questions
How do you differentiate #(sqrt x)(x^2+3sinx)#?
How do you find #int 2/sqrt(-x^2+4x)#?
How do you find the first and second derivative of #y=e^(-x^2)#?
What is the derivative of #e^(lnx)#?
How do you differentiate #g(a)= sin(arcsin(5a))#?
What is the equation of the tangent line of #r=2cos(theta-pi/2) - sin(2theta-pi)# at #theta=pi/4#?
What is the distance between the following polar coordinates?: # (1,(-5pi)/12), (5,(11pi)/8) #
How do you find f'(2) using the limit definition given #f(x)=4x^2#?
How do you find the area under the graph of #f(x)=cos(x)# on the interval #[-pi/2,pi/2]# ?
How do you integrate #sechx (tanhx-sechx) dx#?
How do you differentiate #y=(sinx/(1+cosx))^2#?
How do you use partial fractions to find the integral #int (6x)/(x^3-8)dx#?
How do you integrate #f(x)=(3x^2-x)/((x^2+2)(x-3)(x-7))# using partial fractions?
How do you evaluate the limit #2t# as t approaches #1#?
How do you find the integral of #(sin(5x))(5cos(5x))2#?
How do you integrate #((cosx)^3 sinx )/(4sqrt{1-(cosx)^4})dx#?
Find the following for function #f(x)=\ln(x^4+1)#...?
How do you find the derivative of #y=ln(sin2x)#?
How do you find the second derivative of #x ln (x) - x#?
How do you find the derivative of #f(x)= 2x sin(x) cos(x)#?