# 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 #abs(8x-56)/ (x-7)# as #x->7^-#?

How do you find local maximum value of f using the first and second derivative tests: #f(x) = x^5 - 5x + 5#?

How do you find the maximum value of #y = −2x^2 − 3x + 2#?

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

How do you use partial fraction decomposition to decompose the fraction to integrate #1/((x^4) +1)#?

What is the equation of the normal line of #f(x)= 1/x-e^(-x^3+x^2) # at #x=-1#?

How do you differentiate #(6x-5)^4#?

What is the limit of #(2x+3)/(5x+7)# as x goes to infinity?

How do you find the limit of #sqrt(9x^2 +x)-(3x)# as x approaches infinity?

How do you find the parametric equations for the line through the point P = (2, -2, -1) that is perpendicular to the plane 1x + 3y - 2z = 1?

What is the equation of the tangent line of #f(x) =(x-1)(3x-3e^(x^2-1))# at #x=1#?

How do you differentiate #log_2(x^2sinx^2) #?

How do you differentiate #g(w) = (w^n - 5^n) /n #?

How do you find critical points for #G(x)= ^3sqrt(x²-x)#?

How do you find the equation of the line tangent to the graph of #f(x) =10/(5x + 9#), when x =1/5?

How do you find the indefinite integral of #int (x^2+2x+3)/(x^2+3x^2+9x)#?

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

How do you find the slope of a polar curve?

What is the derivative of #5e^(x)+3#?

What is the equation of the line that is normal to #f(x)=(x+4)^2/e^x# at # x=-1 #?