Ask a New Question

Asked by Abhishek

If y=e^x+3logx then prove that dy/dx=x^2(x+3)e^x.
13 years ago

Answers

Answered by Bosnian
d ( e ^ x ) / dx = e ^ x

d ( log x ) / dx = 1 / x


d y / dx = e ^ x + 3 * 1 / x



d y / dx = e ^ x + 3 / x
13 years ago
There are no AI answers yet. The ability to request AI answers is coming soon!

Submit Your Answer


We prioritize human answers over AI answers.

If you are human, and you can answer this question, please submit your answer.

Related Questions

of a^2+b^2=2ab, prove log[(a+b)/2]=1/2(loga+logb) If e^(x+3logx) then prove that dy/dx=x^2(x+3)e^x....can anyone help me out...plz note 3+logx is in a... Simplify: A) log(x+1)+3logx B) 2log4np-3log4p C) 2ln(3x)+ln(5x)-ln6xy D) 22log10+log1000-... Ax^2+bx=bx^2+a prove that it's roots are rational for all real values of a and b Simplify logx(x/4)+3logx(2/5)-log21(2/25) Prove: 1^2+2^2+3^2+...+n^2= [n(n+1)(2n+1)]/6 wher: n is natural number IF A+B+C=Π prove that sin(3A)+sin(3B)+sin(3C)=-4cos(3A÷2)cos(3B÷2)cos(3C÷2) Prove: Cot x cot 2x - cot 2x cot 3x - cot 3x cot x = 1 Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. 2logY=log2 + 3logX - 1 2^Y = 4^X - 2
Submit Your Answer

Question

If y=e^x+3logx then prove that dy/dx=x^2(x+3)e^x.

Ask a New Question
Archives Contact Us Privacy Policy Terms of Use