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Differential Calculus

Recent questions in Differential Calculus

Marco Hudson 2022-08-07

Find the limit.
$lim_{u \to 1} (u^{4} - 1) / (u^{3} - 1)$

Damon Campos 2022-08-05

lower limit is 0 upper limit is 2x.
$\int \sin^{2 θ} d θ =$ ?

traucaderx7 2022-08-05

Find dy/dx for the following function and evaluate the derivative at the point (2, -1).
$x^{2} + y^{2} x = - 2$

Ronnie Rojas 2022-08-05

Locate the absolute extrema of the following function of the interval ( 0, 4 ).
$f (x) = x^{3} - 12 x$

crazygbyo 2022-08-05

Guess the value of the limit ( it it exists) by evaluationg the funciton at the given numbers ( correct to six decimal places)
a) $lim x^{2} - 2 x / x^{2} - x - 2, x = 2.5, 2.1, 2.05, 2.01, 2.005, 2.001, 1.9, 1.95, 199, 1.995, 1.999$
$x \to 2$
b) $lim x^{2} - 2 x / x^{2} - x - 2, x = 0, - 0.5, - 0.9, - 0.95, - 0.99, - 0.999, - 2, - 1.5, - 1.1, - 1.01, - 1.001$
$x \to - 1$

Ledexadvanips 2022-08-04

Solve. $f (x) = 4 x + \frac{17}{x}$

Pader6u 2022-08-02

find the limit (if it exists)
$lim_{θ \to 0} \sec θ - 1 / θ \sec 0$

Caylee Villegas 2022-08-01

How to solve.
$lim (1 - 1 / h^{2}) / (1 - 1 / h)$
$h \to 0$

Emmanuel Pace 2022-07-31

Find the domain , range and inverse of f(x) = ax+b / cx+d where $a, b, c, d \in R$ and ad-bc =1

ganolrifv9 2022-07-29

The implicit function theorem gives conditions under the relationship G(x,y)=0 defines y implicitly as a function of x. Use the implicit function theorem to show that the relationship x+y+e^{xy}=0 defines y implicitly as a function of xnear the point (0,-1).

Ashlyn Krause 2022-07-29

Determine a region whose area is equal to the given limit.
$lim_{n \to \infty} \sum_{i = 1}^{n} \frac{2}{n} (5 + \frac{2 i}{n})^{10}$

ingwadlatp 2022-07-29

$lim_{x \to 2} (3 x + 2)$ find the limit L. then find $δ > 0$ such that (f(x)-L)<0.01 whenever $0 < (x - c) < δ$

Ibrahim Rosales 2022-07-28

Use the power series
To determine a power series centered at 0, for the function.Identify the interval of convergence.
$f (x) = \ln (x^{2} + 1)$

iarc6io 2022-07-27

Evaluate. $lim_{x \to 1} \frac{π x}{2}$

Makenna Booker 2022-07-27

the lower limit is 0 the upper limit is x on the first and thirdintegral. the second integral lower limit is 0 andupper limit is 2x.
$\int \sin θ d θ \int d ψ \int r^{2} d r$

aanpalendmw 2022-07-27

Find the derivative of y with respect to
x for y =17
$y = 17^{x}$ is........?

enmobladatn 2022-07-27

Write a conditional statement. Write the converse, inverse and contrapositve for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.

skilpadw3 2022-07-27

Determine the nature and stability of the critical point (0,0) for the following system:
$\frac{d x}{d t} = x + 2 y + 2 \sin y$
$\frac{d y}{d t} = - 3 y - x e^{x}$

Roselyn Daniel 2022-07-27

Find the inverse function if:
$g (x) = 1 + \ln x$

Arectemieryf0 2022-07-27

$lim (\sqrt{x^{2} + 1} - \sqrt{2}) / (x - 1)$
x approaches 1

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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