# Christopher Agresta

Calculus teacher | Verified Expert

I specialize in Calculus, holding a degree from Scripps College. With a passion for mathematics and a knack for simplifying complex concepts, I guide students through the intricacies of calculus with clarity and enthusiasm. My approach emphasizes problem-solving skills and fosters a deep understanding of mathematical principles. Let's tackle calculus together and unlock its beauty and power.

## Questions

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

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

How do you differentiate #f(x)=tan(sqrt(x^3-1)) # using the chain rule?

How do you find the x values at which #f(x)=x/(x^2-1)# is not continuous, which of the discontinuities are removable?

What is the derivative of #1+tan^2x#?

How do you find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane #x + 6y + 10z = 60#?

What is the Maclaurin Series for # f(x) = x^2ln(1+x^3) #?

How do you integrate #int (3x)/((x + 2)(x - 1))# using partial fractions?

How do you find the derivative of the function: #y=arcsin(2x+1)#?

What is #int sin^4xdx #?

What is the equation of the line normal to # f(x)=(x^2-x)(x-2) # at # x=1#?

What is the derivative of #2ln(x)#?

How do you find the limit #((1-x)^(1/4)-1)/x# as #x->0#?

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

How do you find the limit of #((sqrtx+4)-3)/(x-6)# as x approaches 6?

How do you differentiate #f(x)= (2 x^2 - x - 6 )/ (x- 1 )# using the quotient rule?

How do you write the slope of the line tangent to #f(x)=3-2x# at the point (-1,5)?

What is the surface area produced by rotating #f(x)=x^3-8, x in [0,2]# around the x-axis?

How do you find the derivative of #y=5/(2x)^2+2cosx#?

Using the integral test, how do you show whether #sum1/[(n^2)+4)# diverges or converges from n=1 to infinity?