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Differential Calculus

Recent questions in Differential Calculus

Ramsey 2021-06-19

Find the derivatives of the given functions. $w (x) = \sec x \tan (x^{2} - 1)$

ankarskogC 2021-06-18

Find derivatives for the functions. Assume a, b, c, and k are constants.
$f (x) = \frac{a^{2} - x^{2}}{a^{2} + x^{2}}$

Clifland 2021-06-17

Find the derivatives of the functions. $u (x) = (x^{2} + 1) 4^{x^{2} - 1}$

Maiclubk 2021-06-16

Find derivatives of the functions defined as follows.
$y = \frac{e^{x} - e^{- x}}{x}$

Joni Kenny 2021-06-16

Find derivatives for the functions. Assume a, b, c, and k are constants.
$y = {\frac{x^{2} + 2}{3}}^{2}$

chillywilly12a 2021-06-15

Find derivatives for the functions. Assume a, b, c, and k are constants. $s (t) = 6 t^{- 2} + 3 t^{3} - 4 t^{\frac{1}{2}}$

bobbie71G 2021-06-14

Calculate the derivatives of all orders: $f' (x), f^{″} (x), f^{‴} (x), f^{4} (x), \dots, f^{n} (x), \dots f (x) = - 3 x^{3} + 4 x$

foass77W 2021-06-13

Use derivatives to show that f is increasing and its graph is concave down for all x>0.

Aneeka Hunt 2021-06-13

Find derivatives for the functions. Assume a, b, c, and k are constants.
$f (x) = \frac{x^{3}}{9} (3 \ln x - 1)$

ka1leE 2021-06-12

Explain the difference between an absolute minimum and a local minimum.
1) There is no difference.
2) A function f has an absolute minimum at $x = c$ if $f (c)$ is the smallest function value on the entire domain.
3) A function f has an absolute minimum at $x = c$ if $f (c)$ is the smallest function value when x is near c, whereas f has a local minimum at c if $f (c)$ is the smallest function value on the entire domain of f.
4) A function f has an absolute minimum at $x = c$ if $f (c)$ is the largest function value on the entire domain of f, whereas f has a local minimum at c if $f (c)$ is the largest function value when x is near c.
5) A function f has an absolute minimum at $x = c$ if $f (c)$ is the largest function value when x is near c, whereas f has a local minimum at c if $f (c)$ is the largest function value on the entire domain of f.

generals336 2021-06-12

Use derivatives to find the critical points and inflection points. $f (x) = x^{5} + 15 x^{4} + 25$

Kye 2021-06-12

Find derivatives for the functions. Assume a, b, c, and k are constants.
$f (x) = \frac{1}{x^{2}} + 5 \sqrt{x} - 7$

Elleanor Mckenzie 2021-06-11

Find the derivatives of the functions. $h (x) = \ln (\frac{3 x + 1}{4 x - 2})$

Reeves 2021-06-11

Find the derivatives of the functions. $f (x) = e^{2 x + 1}$

SchachtN 2021-06-11

Find the derivatives of the given functions. $f (x) = \sin x - \cos x$

Dolly Robinson 2021-06-11

Find derivatives for the functions. Assume a, b, c, and k are constants.
$H (t) = (a t^{2} + b) e^{- c t}$

Cheyanne Leigh 2021-06-09

Find derivatives for the functions. Assume a, b, c, and k are constants.
$g (w) = \frac{5}{{(a^{2} - w^{2})}^{2}}$

e1s2kat26 2021-06-09

Find the derivative of the function.
$f (θ) = \cos (θ^{2})$

Dillard 2021-06-08

Find derivatives for the functions. Assume a, b, c, and k are constants.
$f (z) = \frac{z^{2} + 1}{\sqrt{z}}$

Albarellak 2021-06-08

Use the limit definition of the derivative to calculate the derivatives of the following function:
(a) $f (x) = 4 x^{2} + 3 x + 1$
(b) $f (x) = \frac{2}{x^{2}}$

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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