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Differential Calculus

Recent questions in Differential Calculus

cyrsvab 2022-02-12

$lim_{h \to 0} \frac{{(1 + h)}^{12} - 1}{h}$ repsresents the derivative of the function f(x)=12 at the number a=12

Octavio Miller 2022-01-29

Evaluating trig limit $lim_{x \to 0} \frac{\sqrt{1 - \cos (x^{2})}}{1 - \cos (x)}$
I have tried to simplify the expression using the identity $1 - \cos (x) = 2 \sin^{2} (\frac{x}{2})$ , but I have still failed to remove the indeterminate form.

Marquis Neal 2022-01-26

Limit of $\frac{\tan (\sin {(x)})}{\sin (\tan {(x))}}$ when x approaches 0

William Montgomery 2022-01-26

Compute the limit: $lim_{x \geq 0} \frac{1 - \cos^{3} (x)}{x \sin (2 x)}$

trefoniu1 2022-01-26

Evaluating $lim_{x \to 0} \frac{x^{2} - \ln (\cos x)}{x}$

Caleb Snyder 2022-01-26

Prove that $lim_{x \to 0} [\ln (\frac{1 + \cos x}{1 - \cos x})] \sim 2 \ln | x |$

Shamar Padilla 2022-01-26

Sequences where $\sum_{n = k}^{\infty} a_{n} = \sum_{n = k}^{\infty} a_{n}^{2}$
I was recently looking at the series $\sum_{n = 1}^{\infty} = \frac{\sin n}{n}$ , for which the value quite cleanly comes out to be $\frac{12}{π - 1}$ , which is a rather cool closed form.

kuntungw3 2022-01-26

Finding $lim_{n \to \infty} \sum_{r = 1}^{n} \cot^{- 1} (\frac{n^{2} (r^{2} + r + 1) + 2 n + 1}{n^{2} + n})$

Jacquelyn Sanders 2022-01-25

Limit of $\sec (\frac{1}{x})$ when $x \to \infty$

gea3stwg 2022-01-24

Solving the following limit without LHospitals rule: $lim_{x \to 0} \frac{\sin (x^{2} + 2) - \sin (x + 2)}{x}$

Arely Briggs 2022-01-24

Derivative of a product of trig functions: $3 \sin (x) \cot (x)$
$\frac{- 3 \cos x}{\sin^{2} x}$

derlingasmh 2022-01-23

How to sum up this inverse function $lim_{n \to \infty} \sum_{r = 0}^{n} \tan^{- 1} (\frac{2 r}{1 + 2 r^{4}})$

cristinamahumas 2022-01-14

Find the points on the graph of the function that are closest to the given point y=x^2, (0,3)

first derivative of the given function

$y = c o t 5 x$

osula9a 2021-12-31

(a) limit as x goes to $0 - > \frac{\tan x}{2 x}$
(b) limit as x goes to $5 - > \frac{- 1}{{(x - 5)}^{2}}$
(c) limit as x goes to $0 - > \cot^{2} x$

compagnia04 2021-12-25

Find the absolute extrema of the function on the closed interval.
$y = 3 x^{\frac{2}{3}} - 2 x, [- 1, 1]$
minimum - ?
maximum - ?

Tara Alvarado 2021-12-23

Find all the second partial derivatives
$f (x, y) = \sin^{2} (m x + n y)$

Oberlaudacu 2021-12-23

Find an equation of the tangent line to the given curve at thespecified point
$y = \frac{e^{x}}{x}; (1, e^{x})$

Jean Blumer 2021-12-23

Solve the following initial value problem for the function y(x).
$y^{'} = 2 x y^{2}; y (1) = \frac{1}{2}$

Maria Huey 2021-12-21

What is the derivative of $x^{3}$

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.

Differential Calculus

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