Math, asked by veda111101, 1 year ago

Y = tan^-1(5x+1/3-x-6x²). Find dy/dx

Answers

Answered by ashutoshgoel03
0

(5 - 90x²)/(sec²y(1 - 6x²)²]

tan y = 5x/(1 - 6x²)  

Differentiate implicitly  

sec²y dy/dx = [5(1 - 6x²) + 5x(-12x)]/(1 - 6x²)²  

dy/dx = (5 - 90x²)/(sec²y(1 - 6x²)²]

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