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Recent questions in Differential Calculus

roncadort8d 2022-12-15

Exactly what is the derivative of $2 x$ ?

Nurul Haziqah Binti Din .2022-12-10

A stone dropped into a still pond sends out a circular ripples whose radius increases at a constant rate at 3ft/s . How rapidly is the area enclosed by the ripple increasing at the end of 10 s ?

gheadarce 2022-12-01

One litre is equal to how many glasses of water?

ingerentayQL 2022-11-28

Find the dot product, $a \cdot b$
$a \cdot b a = 6 i + 5 j, b = - 5 i + 4 j$
A.50
B.<1,9>
C.-10
D.<-30,20>

Simon Hanna 2022-11-28

What is the derivative of $\frac{1}{x}$ ?

jastukudYb 2022-11-27

What is the derivative of $\tan 2 x$ ?

hEorpaigh3tR 2022-11-27

Find and classify critical points of $f (x, y) = \cos (x^{2} + y^{2})$
I have to classify the critical points of f, but the problem says to only consider the points $(0, 0), (\sqrt{\frac{π}{2}}, \sqrt{\frac{π}{2}})$
So, long story short, after using the second derivative test I got that $D = 0$ at both critical points.
How should I proceed with this problem?

Erick Wyatt 2022-11-26

At what point does the curve have maximum curvature?
$y = 5 \ln (x)$
$(x, y) = (,)$
κ(x) approaches ________ as $x \to \infty$ ?

Ernesto Wagner 2022-11-26

We need to know which of the followingis incorrect?
The derivative of $\sqrt{n} + \frac{1}{\sqrt{n}}$

klupko5HR 2022-11-25

What is the derivative of $x y$ ?

Justine Pennington 2022-11-25

What is $δ S$ and $δ H$ ?

Milagros Moon 2022-11-23

Why is Zero not a Critical Point of $f (x) = (x^{2} - 63) e^{- x}$ ?

Jamie Medina 2022-11-22

Let $f (x) = | x - 1 | + | x |$ . Find the number of critical points of the function in its domain.. Find the number of critical points of the function in its domain.

bucstar11n0h 2022-11-21

Critical point analysis for $x^{'} = y, y^{'} = x^{2} - y - ϵ$

charmbraqdy 2022-11-21

Let $U$ be some domain in $R^{n}$ with $0 \in U$ . We have some $C^{2}$ function $f : U \to R$ with $\nabla f (0) = 0$ , therefore 0 is a critical point (i.e. local maximum, local minimum or saddle point). Define $\nabla f (0) = 0$ and $f^{+} : U^{+} \to R, x \mapsto f (x)$ .
Is $0$ an extremum of $f^{+}$ and if yes how could we prove it?

Imperial Power2022-11-20

a communication signal is given by the following functions
y=5 $e^{t}$ .Ln(cos(t))

Widersinnby7 2022-11-20

Formal proof of $h (x, y) = f (x) + g (y)$ has a critical point $(x_{0}, y_{0})$ iff $x_{0}$ is a critical point of f and $y_{0}$ is a critical point of $g$

gfresh86iop 2022-11-20

Critical point of $x - 5 x^{\frac{1}{5}}$

Anton Huynh 2022-11-20

Find the integral:
$\int \sec^{3} x d x$

Mark Rosales 2022-11-19

For the function $f (x) = \frac{x^{2}}{x - 1}$ , why is $1$ not a critical point, along with $0$ and $2$ ? Don't critical points include discontinuities?

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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