 Get help with differential calculus problems

Recent questions in Differential Calculus cristinamahumas 2022-01-14

2022-01-10

first derivative of the given function $$y= cot 5x$$ osula9a 2021-12-31 Answered

(a) limit as x goes to $$\displaystyle{0}-{>}\frac{{{\tan{{x}}}}}{{{2}{x}}}$$ (b) limit as x goes to $$\displaystyle{5}-{>}\frac{{-{1}}}{{\left({x}-{5}\right)}^{{{2}}}}$$ (c) limit as x goes to $$\displaystyle{0}-{>}{{\cot}^{{{2}}}{x}}$$ compagnia04 2021-12-25 Answered

Find the absolute extrema of the function on the closed interval. $$\displaystyle{y}={3}{x}^{{\frac{{2}}{{3}}}}-{2}{x},\ {\left[-{1},\ {1}\right]}$$ minimum - ? maximum - ? Tara Alvarado 2021-12-23 Answered

Find all the second partial derivatives $$\displaystyle{f{{\left({x},{y}\right)}}}={{\sin}^{{{2}}}{\left({m}{x}+{n}{y}\right)}}$$ Oberlaudacu 2021-12-23 Answered

Find an equation of the tangent line to the given curve at thespecified point $$\displaystyle{y}={\frac{{{e}^{{x}}}}{{{x}}}};\ {\left({1},{e}^{{x}}\right)}$$ Jean Blumer 2021-12-23 Answered

Solve the following initial value problem for the function y(x). $$\displaystyle{y}'={2}{x}{y}^{{2}};\ {y}{\left({1}\right)}={\frac{{{1}}}{{{2}}}}$$ Danelle Albright 2021-12-21 Answered

Find the length of the curve. $$\displaystyle\vec{{{r}}}{\left({t}\right)}={ < }{8}{t},{t}^{{2}},{\frac{{{1}}}{{{12}}}}{t}^{{3}}{>},{0}\le{t}\le{1}$$ Carla Murphy 2021-12-21 Answered

If $$\displaystyle{f{{\left({2}\right)}}}={10}$$ and $$\displaystyle{f}'{\left({x}\right)}={x}^{{{2}}}{f{{\left({x}\right)}}}$$ for all x, find $$\displaystyle{f}{''}{\left({2}\right)}$$ Maria Huey 2021-12-21 Answered

What is the derivative of $$\displaystyle{x}^{{3}}$$ Vikolers6 2021-12-20 Answered

Use the method of undetermined coefficients to find one solution of $$\displaystyle{y}{''}-{10}{y}'+{17}{y}={8}{e}^{{{8}{t}}}$$ $$\displaystyle{y}=?$$ Kelly Nelson 2021-12-20 Answered

Compute the derivative of $$\displaystyle{f{{\left({x}\right)}}}={x}^{{{\arcsin{{x}}}}}$$ a) $$\displaystyle{x}^{{{\arcsin{{x}}}}}{\left({\frac{{{\ln{{x}}}}}{{\sqrt{{{1}-{x}^{{2}}}}}}}+{\frac{{{\arcsin{{x}}}}}{{{x}}}}\right)}$$ b) $$\displaystyle{x}^{{{\arcsin{{x}}}}}{\left({\frac{{{1}}}{{\sqrt{{{1}-{x}^{{2}}}}}}}+{\frac{{{\arcsin{{x}}}}}{{{x}}}}\right)}$$ c) $$\displaystyle{\frac{{{1}}}{{\sqrt{{{1}-{x}^{{2}}}}}}}$$ d) $$\displaystyle{\frac{{{1}}}{{\sqrt{{{1}-{x}^{{2}}}}}}}+{\frac{{{\arcsin{{x}}}}}{{{x}}}}$$ e) $$\displaystyle{\frac{{{1}}}{{\sqrt{{{1}-{x}^{{2}}}}}}}+{\arcsin{{x}}}$$ William Curry 2021-12-20 Answered

Find the derivative of the function $$\displaystyle{y}={\frac{{{2}{x}}}{{{2}}}}-{13}{x}+{5}$$ and use it to find an equation of the line tangent to the curve at $$\displaystyle{x}={3}$$. Joan Thompson 2021-12-20 Answered

Find c such that fave $$\displaystyle={f{{\left({c}\right)}}},{f{{\left({x}\right)}}}={\left({x}-{3}\right)}^{{{2}}},{\left[{2},{5}\right]}$$ Mary Jackson 2021-12-19 Answered

For what values of r does the function $$\displaystyle{y}={e}^{{{r}{x}}}$$ satisfy the differential equation $$\displaystyle{y}{''}-{4}{y}'+{y}={0}?$$ lunnatican4 2021-12-18 Answered

Find the limit of $$\displaystyle{\frac{{{x}}}{{{\sin{{\left({x}\right)}}}}}}$$ as x approaches 0. abreviatsjw 2021-12-18 Answered

Solve the initial value problem: $$\displaystyle{16}{y}{''}-{40}{y}'+{25}{y}={0}$$ Where the initial conditions are: $$\displaystyle{y}{\left({0}\right)}={3},\ {y}'{\left({0}\right)}=-{\frac{{{9}}}{{{4}}}}$$ Teddy Dillard 2021-12-17 Answered

Find the derivatives of the function y defined implicity by each of the following equation $$\displaystyle{x}^{{{4}}}+{y}^{{{4}}}-{a}^{{{2}}}{x}{y}={0}$$ oliviayychengwh 2021-12-16 Answered

If $$\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}{\left[{f{{\left({x}\right)}}}\right]}^{{4}}={18}$$ and $$\displaystyle{f{{\left({1}\right)}}}={2}$$, find $$\displaystyle{f}'{\left({1}\right)}$$. Krzychau1 2021-12-16 Answered

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

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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