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Differential Calculus

Recent questions in Differential Calculus

Danelle Albright 2021-12-21

Find the length of the curve.
$\vec{r} (t) = < 8 t, t^{2}, \frac{1}{12} t^{3} >, 0 \leq t \leq 1$

Carla Murphy 2021-12-21

If $f (2) = 10$ and $f^{'} (x) = x^{2} f (x)$ for all x, find $f^{″} (2)$

Vikolers6 2021-12-20

Use the method of undetermined coefficients to find one solution of
$y^{″} - 10 y^{'} + 17 y = 8 e^{8 t}$
$y = ?$

Kelly Nelson 2021-12-20

Compute the derivative of $f (x) = x^{\arcsin x}$
a) $x^{\arcsin x} (\frac{\ln x}{\sqrt{1 - x^{2}}} + \frac{\arcsin x}{x})$
b) $x^{\arcsin x} (\frac{1}{\sqrt{1 - x^{2}}} + \frac{\arcsin x}{x})$
c) $\frac{1}{\sqrt{1 - x^{2}}}$
d) $\frac{1}{\sqrt{1 - x^{2}}} + \frac{\arcsin x}{x}$
e) $\frac{1}{\sqrt{1 - x^{2}}} + \arcsin x$

William Curry 2021-12-20

Find the derivative of the function $y = \frac{2 x}{2} - 13 x + 5$ and use it to find an equation of the line tangent to the curve at $x = 3$ .

Joan Thompson 2021-12-20

Find c such that fave $= f (c), f (x) = {(x - 3)}^{2}, [2, 5]$

Mary Jackson 2021-12-19

For what values of r does the function $y = e^{r x}$ satisfy the differential equation $y^{″} - 4 y^{'} + y = 0 ?$

lunnatican4 2021-12-18

Find the limit of $\frac{x}{\sin (x)}$ as x approaches 0.

abreviatsjw 2021-12-18

Solve the initial value problem:
$16 y^{″} - 40 y^{'} + 25 y = 0$
Where the initial conditions are:
$y (0) = 3, y^{'} (0) = - \frac{9}{4}$

Teddy Dillard 2021-12-17

Find the derivatives of the function y defined implicity by each of the following equation
$x^{4} + y^{4} - a^{2} x y = 0$

Krzychau1 2021-12-16

Find the first and second derivatives of the given function.
$f (x) = 5 x^{3} - 6 x^{2} + 6$

oliviayychengwh 2021-12-16

If $f (x) = x^{2} {[f (x)]}^{4} = 18$ and $f (1) = 2$ , find $f^{'} (1)$ .

Ben Shaver 2021-12-15

Find the first and second derivatives of the function.
$g (t) = 2 \cos t - 3 \sin$

compagnia04 2021-12-15

How do you simplify $\frac{1}{\sin x}$

William Burnett 2021-12-14

Use the function $f (x) = \frac{9}{x - 4}$
find the following.
(a) Use the limit definition of the derivative to find $f (x)$ .
f(x)=?
(b) Find the equation of the tangent line at $x = 5$ .

osteoblogda 2021-12-12

Evaluate the limit $lim_{h \Rightarrow 0} \frac{{(x - h)}^{3} - x^{3}}{h}$

expeditiupc 2021-12-11

Find derivatives of the functions defined as follows: $y = - 8 e^{3 x}$

hvacwk 2021-12-11

Find the derivatives of the functions $y = {(3 + \cos^{3} 3 x)}^{- \frac{1}{3}}$

bmgf3m 2021-12-11

Find the derivatives of the following functions using chain rule.
$y = {(5 x + 1)}^{2}$

burkinaval1b 2021-12-11

Find the derivatives of this inverse
$y = {(1 + \tan^{- 1} x)}^{2}$

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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