Differential Calculus> find dy/dx y= (e)^x + (10)^x + (x)^x...

find dy/dx
y= (e)^x + (10)^x + (x)^x

taniska , 11 Years ago

Grade 12

3 Answers

Rinkoo Gupta

Last Activity: 11 Years ago

Let y₁=x^x

Taking log on both sides, get

Logy1=xlogx

Diff w. r. to x ,get

1/y1. Dy1/dx=x.1/x+logx.1

Dy1/dx=y1[1+logx]

=x^x[1+logx]

10^x = e^(x ln 10)

Applying the chain rule:dy/dx = e^(x ln 10) * ln 10 = 10^x ln 10

thus dy/dx=e^x+10^xln10 +x^x(1+logx)

Thanks & Regards

Rinkoo Gupta

AskIITians Faculty

Arun Kumar

Last Activity: 11 Years ago

Hello

$\\\frac{d}{dx}\left(e^x+10^x+x^x\right)=e^x+10^x\ln \left(10\right)+x^x\left(\ln \left(x\right)+1\right)\\$

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

Arun Kumar

Last Activity: 11 Years ago

Hello

$\\\frac{d}{dx}\left(e^x+10^x+x^x\right)=e^x+10^x\ln \left(10\right)+x^x\left(\ln \left(x\right)+1\right)$

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

1 Answer Available

Last Activity: 2 Years ago

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

0 Answer Available

Last Activity: 3 Years ago

View all Questions

Differential Calculus> find dy/dx y= (e)^x + (10)^x + (x)^x...

find dy/dxy= (e)^x + (10)^x + (x)^x

taniska , 11 Years ago

Rinkoo Gupta

Arun Kumar

Arun Kumar

LIVE ONLINE CLASSES

Other Related Questions on differential calculus

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.

differential calculus

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

find dy/dx
y= (e)^x + (10)^x + (x)^x

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.