Trying to understand the true meaning of integral and Derivative in calculus
31273
What does $dx$ mean?
132203
What is the intuition behind why the integration of $f(x) = x$ for closed interval of negative to positive infinity diverges, rather than being zero?
125615
Defining the derivative without limits
56712
How can I find the domain and derivative of the function?
30088
What is the meaning of the third derivative of a function at a point
41133
What is the integral of function $f(x) = (\sin x)/x$
152853
What is the intuition behind the unit normal vector being the derivative of the unit tangent vector?
25569
Intuitive understanding of the derivatives of $\sin x$ and $\cos x$
104465
real meaning of divergence and its mathematical intuition
65889
Showing $\Phi(x)=\int_0^x (x-t)f(t)\,dt$ is twice differentiable and finding $\Phi''(x)$
35032
Why is integration so much harder than differentiation?
3387
Derivative of $f(x)=|x|$
96589
Word Question Involving the Definition of the Derivative
70622
Why are integrals called integrals?
134551
Comparison between integrals
73339
What does "calculus" mean?
139216
Use the definition of derivative to find $f'(x)$ for $f(x) = x^{1/2}$.