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Recent questions in Differential Calculus

hercegvm 2022-08-22

What does continuous at a point mean?

temeljil4l 2022-08-21

Find all continuous functions with the property that f(x)f(y)f(z) = 3, for every $x, y, z \in R$ , with x + y + z = 0.
I am quite new to new to functional equations and I have been stuck on this problem for quite a while.
I tried to somehow get and transform into a Cauchy equation but failed during the process.

phoreeldoefk 2022-08-21

Find the value of : $lim_{n \to \infty} \prod_{k = 1}^{n} \cos (\frac{k a}{n \sqrt{n}})$

suffisantfn 2022-08-20

Find the limit, if it exists, or show that the limit does not exist. $lim (x, y)$ tends to (1,0) $x y - \frac{y}{{(x - 1)}^{2}} + y^{2}$

Shyla Odom 2022-08-20

How do you prove that the function $f (x) = \frac{x - 5}{| x - 5 |}$ is continuous everywhere but x=5?

Felix Fitzgerald 2022-08-20

Find the slope of the tangent line to the parabola $y = 4 x - x^{2}$ at the point (1,3), i) using Definition 1, ii) using Equation 2

enseignement20 2022-08-20

Suppose that f(5) = 2, f'(5) = 3, g(5) = -6, and g'(5) = 1. Find the following values:
(fg)'(5)

Dillan Valenzuela 2022-08-19

How does $lim_{n \to \infty} \frac{f (n)}{g (n)} = 0$ imply that $f (n) \in O (g (n))$ ?

popljuvao69 2022-08-19

${\begin{cases} \dot{x} = - y - y^{3} \\ \dot{y} = x \end{cases}$
where $x, y \in R$ . Show that the critical point for the linear system is a center. Prove that the type of the critical point is the same for the nonlinear system.

embelurildmixjm 2022-08-19

If $2 x \leq g (x) \leq x^{4} - x^{2} + 2$ for all x, evaluate $lim x$ tends to 1 g(x).

Asher Kaufman 2022-08-19

Find the derivative. Simplify where possible.
$y = \sin h (\cos h x)$

Fortura7i 2022-08-19

Suppose that f(5) = 2, f'(5) = 3, g(5) = -6, and g'(5) = 1. Find the following values:
(g/f)'(5)

garzettaiy 2022-08-19

Find the 50th derivative of $y = \cos 2 x$ .

Braeden Valenzuela 2022-08-19

At what point is the tangent to $f (x) = x^{2} + 4 x - 1$ horizontal?

Patience Owens 2022-08-19

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
$p (v) = 2 \sqrt{3 v^{2} + 1}, a = 1$

boske9s 2022-08-19

Find an antiderivative F(x) with F'(x) = f(x) and F(0) = 0. Is there only one possible solution? f(x) = 2x

Lawrence Dennis2022-08-18

Given the vector $r (t) = \cos T, \sin T, \ln (\cos T)$ and point (1, 0, 0) find vectors T, N and B at that point.
Vector T is the unit tangent vector, so the derivative r(t) is needed.
Vector N is the normal unit vector, and the equation for it uses the derivative of T(t).
The B vector is the binormal vector, which is a crossproduct of T and N.

zabuheljz 2022-08-18

Find $\frac{d y}{d x}$ if $3 y^{4} + x^{7} = 5 x$

boske9s 2022-08-18

Use Equations 7 to find $\frac{\partial z}{\partial x} and \frac{\partial z}{\partial y}$ .
$e^{z} = x y z$

Leonidas Cook 2022-08-18

Determine whether f'(0) exists. $f (x) = x^{2} \frac{\sin 1}{x}$ if x is not equal to 0, 0 if x=0

One of the most famous and challenging aspects of learning calculus and analysis is dealing with differential calculus equations that are not too complex per se if you have an example of differential calculus sample problems that contain both answers and questions. It is recommended to use your logic and see how differential calculus problems are formed with the help of several equations where you must be solving equations with decimals, functions and their derivatives. These are used to calculate the flow of electricity, model some motion, or set the energy flow of an object in a graphical form.

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