# Ezra Adams

Calculus teacher | Experienced educator in USA

I hold a degree in Calculus from Shawnee State University, where my passion for mathematics flourished. With a strong foundation in advanced calculus principles, I've dedicated myself to helping students navigate the complexities of this subject. My approach blends theoretical knowledge with practical applications, ensuring that learners grasp concepts thoroughly. Through personalized guidance and interactive sessions, I strive to instill confidence and foster a deep understanding of calculus. Whether unraveling derivatives or delving into integrals, I'm committed to illuminating the path to mathematical proficiency. Let's embark on this journey together and unlock the mysteries of calculus.

## Questions

How do you differentiate #f(x)=sinxcosx# using the product rule?

How do you use the limit definition of the derivative to find the derivative of #f(x)=-3x^2+x+5#?

What is the vertical asymptote of ln(x)?

How do you differentiate #y = 6sin cos4x#?

How do you implicitly differentiate #7=1-e^y/(xy)#?

How do you find the derivative of #cos (2x)#?

Is #f(x)=x^2-x# increasing or decreasing at #x=1#?

What is #f(x) = int x+3xsqrt(x^2+1) dx# if #f(2) = 7 #?

What is the equation of the tangent line of #f(x)=e^(-x^2+x+pi)-sinx/e^x# at #x=pi/4#?

Is #f(x)=x^4-4x^3+x-4# concave or convex at #x=-1#?

What is the antiderivative of #cos^2 x#?

How do you find the power series representation for the function #f(x)=e^(x^2)# ?

How do you find the integral of #(x^2)/(sqrt(4-(9(x^2))) #?

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

What is the derivative of #f(t) = (t/(t+1) , te^(2t-1) ) #?

How do you find and classify the critical points of this differential equation #dx/dt = 2x + 4y + 4#?

#lim_(x -> 0) 1/x (2/(2+x)^3-1/4) = # ?

How do you integrate #int sqrt(1+2x)# using substitution?

If limit of #f(x)=27# as #x->c#, what the limit of #(f(x))^(3/2)# as #x->c#?

How do you find the derivative of #(e^x)/(3+2x)#?