# 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 determine whether the function # h '(x) = ((x^2) - 2) / x # is concave up or concave down and its intervals?

How do you find a power series representation for #f(x)= 1/(3-x)# and what is the radius of convergence?

How do you find the derivative of #y= ln(1-x^2)^(1/2)#?

How do you use the ratio test to test the convergence of the series #∑(x^(n))/(9^(n))# from n=1 to infinity?

What is the area enclosed by #r=thetacostheta-2sin(theta/2-pi) # for #theta in [pi/4,pi]#?

What is the surface area of the solid created by revolving #f(x)=x-1# for #x in [1,2]# around the x-axis?

What is the second derivative of #f(x)=15x^3-23x^2+9x-1 #?

How do you find the inflection point of a cubic function?

How do you differentiate #f(x)=e^x*sin3x# using the product rule?

What is the second derivative of # y=x/lnx#?

How do you find the equation of the line tangent to the graph of #y = x^2 - 3# at the point P(2,1)?

What is the indefinite integral of #ln(x^3)/x#?

how to find the integral, when f is continuous ?

What are the absolute extrema of #f(x)=(x^2 - 1)^3 in[-oo,oo]#?

What is the derivative of #g(u) = ln(sqrt((3u+6)/(3u-6)))#?

How do you verify that the function #f(x) = (x)/(x+2)# satisfies the hypotheses of the Mean Value Theorem on the given interval [1,4], then find all numbers c that satisfy the conclusion of the Mean Value Theorem?

What is the average value of the function #g(x) = cosx# on the interval #[0, pi/2]#?

How do you integrate #int tcsctcott# by parts?

Slove this limit please ?

How do you find the derivative of #y=2cosxsinx#