For questions on finding and evaluating derivatives when a function is defined implicitly.
Questions tagged [implicit-differentiation]
1329 questions
-2
votes
2 answers
$\frac{d}{dx} \ln ( x - \sqrt { x^2 - 1} )$
$$\frac{d}{dx} \ln ( x - \sqrt { x^2 - 1} )$$
I was trying to do the differentiation for HW. I managed to get
$$\frac{ 2 \sqrt{x^2 - 1} - x}{ 2 \sqrt{x^2 - 1} \, (x - \sqrt{x^2 - 1} ) }.$$
But the answer is supposed to be
$$\frac{-1}{\sqrt{x^2 -…
FuSan
- 3
-3
votes
2 answers
Derivatives Impicit
(1) Use implicit differentiation to find the derivative of :
(1) xy^3/1+y = e^xy
I got my final answer as dy/dx = [y^6 +xy^3 - ye^xy ( y+1)^2] / [ ( xe^xy) (y+1)^2 - 3xy^5] Anyone got another answer with correct steps?
Sasha Bambi
- 11