# Emma Aldridge

Calculus teacher | Experienced educator in USA

I hold a degree in Calculus from Pratt Institute, where I honed my passion for mathematical analysis. With a focus on clarity and problem-solving, I aim to demystify calculus for students. My approach combines theory with practical applications, fostering a deeper understanding of complex concepts. Whether it's derivatives, integrals, or differential equations, I'm dedicated to guiding students through every step of the learning process. Let's unravel the mysteries of calculus together and pave the way for academic success.

## Questions

Is there a difference between #lim_(h->0)(f(x+h)-f(x))/h# and #lim_(deltax->0)(f(x+deltax)-f(x))/(deltax)#?

How do you find the equation of the tangent line to the curve #y=1+x^3# that is parallel to the line #12x-y=1#?

How do you differentiate #f(x)=(sinx+1)(x^2-3e^x)# using the product rule?

What is the equation of the line that is normal to #f(x)=-2x^3-3x^2+5x-2# at # x=1 #?

How do you find the limit #cosx/(pi/2-x)# as #x->pi/2#?

How do you find the derivatives of #z=ln((y^4+1)^2/(y-1)^3)#?

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

What is the derivative of #tan^4 (x)#?

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

Is #f(x)=-x^5+3x^4-9x^3-2x^2-6x# concave or convex at #x=-3#?

By the Mean Value Theorem, we know there exists a c in the open interval (2,4) such that f′(c) is equal to this mean slope, how do you find the value of c in the interval which works for #f(x)=−3x^3−4x^2−3x+3#?

For what values of x, if any, does #f(x) = sec((-15pi)/8+9x) # have vertical asymptotes?

Show that lim x->a (x^3/8-a^3/8)/(x^5/3-a^5/3)?

How do you find the area between #f(x)=-x^2+4x+1, g(x)=x+1#?

How do you find the derivative of #arctan(x^2y)#?

How do you differentiate #g(t)=(t-sqrtt)/(t^(1/3))#?

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

How do you find the derivative of #x*sqrt(x+1)#?

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

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