# Evelyn Agard

Calculus teacher | Tutor for 10 years

I hold a degree in Calculus from Calvin University. My passion lies in unraveling the intricacies of mathematical concepts and sharing my knowledge with students. With a keen eye for detail and years of experience, I specialize in simplifying complex calculus topics. My approachable demeanor fosters an environment where students feel comfortable asking questions and exploring mathematical theories. I am dedicated to helping learners build a strong foundation in calculus and achieve academic success. Let's embark on this mathematical journey together.

## Questions

What is the limit of #(x^(6) + 4x^(4) - 8x^(2)) / [(x^(4) + 12x^(3) + 2x^(2) + 8)]^5# as x goes to infinity?

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

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

If # f(x) = ( x^3 )/( x^2 - 25 )#, what are the points of inflection, concavity and critical points?

How many local extrema can a cubic function have?

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

How do you find the derivative of #y=(4x+3)^-1+(x-4)^-2#?

How do you use the chain rule to differentiate #y=(cosx/(1+sinx))^5#?

The tangent to #y=x^2e^x# at #x=1# cuts the #x# and #y#-axes at #A# and #B# respectively. Find the coordinates of #A# and #B#.?

How do I us the Limit definition of derivative on #f(x)=sin(x)#?

How do you find the derivative of #-sin^2(x)#?

If # int_0^3 f(x) dx = 8 # then calculate? (A) (i) #int_0^3 2f(x) dx#, (ii) #int_0^3 f(x) + 2 dx# (B) #c# and #d# so that #int_c^d f(x-2) dx #

How do you find the points where the graph of the function #y = x - (x / 18)^2# has horizontal tangents and what is the equation?

What is the derivative of #arctan(x - sqrt(1+x^2))#?

What is the second derivative of #y=x*sqrt(16-x^2)#?

How do you differentiate #f(x)=(sinx+1)(x^2-3e^x)# using the product rule?

What is the general solution of the differential equation? : #y''+4y=2sin2x#

How do you find the slope of the graph #f(x)=3x^3-6# at (2,18)?

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

How do you integrate #f(x)=(3x^2-x)/((x^2-52)(x+4)(x-7))# using partial fractions?