# Ezekiel Alexander

Calculus teacher | Experienced educator in USA

With a focus on calculus, my expertise stems from rigorous training at The Citadel, The Military College of South Carolina. I'm passionate about demystifying complex mathematical concepts and empowering students to excel. My approach blends theoretical understanding with practical applications, ensuring comprehension and mastery. Whether it's differential equations or integration techniques, I'm dedicated to fostering a supportive learning environment where students thrive. Let's embark on this mathematical journey together and unlock your full potential.

## Questions

How do you find the derivative of # y =cotx/(1-sinx)#?

How do you find the equation of the line tangent to the graph of #y = sqrtx# at (16,4)?

How do you differentiate #f(x)=sinxcosx# using the product rule?

How do you find the local extrema for #f(x)=(x-3)(x-1)(x+2)#?

How do you differentiate #f(t)=sin^2(e^(sin^2t))# using the chain rule?

Differentiate the following from first principles: (a) #y=10x# (b) #y=6-5x+x^2#?

What is the derivative of #f(x)=(cos^-1(x))/x# ?

What is the equation of the tangent line of #f(x) =tan^2x*sec2x-e^xcosx# at #x=pi/4#?

How do you differentiate # f(x)= (6e^(-x)+2)^3 # using the chain rule?

How do you find the integral of #int sin x * tan x dx#?

What is the slope of the polar curve #f(theta) = thetasintheta - cos^3theta + tantheta# at #theta = pi/3#?

How do you differentiate #f(x)=(x-xsinx+1)/(x^2-3x)# using the quotient rule?

Find the limit? lim x#rarr# #oo# #(10x^5+x^4+31)/(x^6)#

How do you integrate # (x-1) e^(-x^2+2x) dx#?

What is the limit of # xsin(1/x)# as x goes to infinity?

How do you differentiate #ycosx^2-y^2=xy#?

How do you differentiate #y=(x-y)^2/(x+y)#?

How do you integrate #int sqrt(1+2x)# using substitution?

How do you find #int 10/((x-1)(x^2+9)) dx# using partial fractions?

What is the integral of #2e^(2x)#?