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
If #f(x) =-e^(-2x-7) # and #g(x) = 3/x #, what is #f'(g(x)) #?
How do you find the taylor series series at x=0 of #f(x) = 1/(1-2x)#?
How do you evaluate the definite integral #int (2x^3)dx# from [1,3]?
How do you find local maximum value of f using the first and second derivative tests: #f(x)= 5x - 3#?
What is the slope of the tangent line of # (xy-y^2)(1+x) =C #, where C is an arbitrary constant, at #(-3,1)#?
What is the antiderivative of #(5/x)^2#?
How do you verify that the function #f(x)=x/(x+6)# satisfies the hypotheses of The Mean Value Theorem on the given interval [0,1] and then find the number c that satisfy the conclusion of The Mean Value Theorem?
How do you find points of inflection and determine the intervals of concavity given #y=x^4+x^3-2x^2+1#?
How do you find local maximum value of f using the first and second derivative tests: #1/3(y-2)=sin1/2(x-90*) #?
What is #int (x^3-2x^2+6x+9 ) / (2x^2- x +3 )#?
How do you use the product rule to differentiate #g(x)=(x^2+1)(x^2-2x)#?
How do you differentiate #log_2 (x)#?
What is the implicit derivative of #1= ln(xy) #?
How do you know if the series #(1+n+n^2)/(sqrt(1+(n^2)+n^6))# converges or diverges for (n=1 , ∞) ?
How do you find the volume of the solid obtained by rotating the region bounded by the curves #1/(1+x^2)#, #y=0#, #x=0#, and #x=2# rotated around the #x=2#?
How do you find the antiderivative of #int (x^3cosx) dx#?
Given #x^2 + (y – 2)^2 = 4 # how do you derive a parametric equation?
How do you find #dy/dx# by implicit differentiation of #xcosy=1# and evaluate at point (2, pi/3)?
What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2+4x+2)/(x^2-2x)#?
How do you differentiate #f(x)=x/(x-4)^2# using the quotient rule?