# 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 find the limit of #(x-tanx)/x^3# as x approaches 0?

What are the extrema of #f(x)=2x+1#?

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

How do you find a polar equation of the form #r=f(theta)# for the curve represented by the cartesian equation #x = 3#?

What is the antiderivative of a constant?

How do you use implicit differentiation to find dy/dx given #x^3+y^3=6xy-1#?

What is the derivative of #sqrttan x #?

How do you integrate #int 3/(xsqrt(x^2-9))# by trigonometric substitution?

For what values of x, if any, does #f(x) = 1/((x+3)(x-2)) # have vertical asymptotes?

How do you find the equation of the line tangent to #y=(x^2)(e^3x)# at the point where x=1/3?

How do you find the derivative of #y=sinx*cosx#?

What is the Cartesian form of #( 7 , (25pi)/12 ) #?

How do you differentiate #f(x) = (cos2x)/(e^(2x)-x)# using the quotient rule?

What is the derivative of #sqrt(5x)#?

How do you find all local maximum and minimum points using the second derivative test given #y=cos^2x-sin^2x#?

How do you use the limit definition of the derivative to find the derivative of #f(x)=3x^2+3x+3#?

How do you integrate #int (1-2x^2)/((x+1)(x-6)(x-7)) # using partial fractions?

Using the limit definition, how do you differentiate #f(x) = x^(1/2) #?

How do you integrate #int lnx dx # using integration by parts?

Find the limit as x approaches infinity of #y=arccos((1+x^2)/(1+2x^2))#?