find the derivative of the function y=(3x+4)^5(4x+1)^-2

2 answers

3x+4*5/4x+1*2
4x+1*2d/dx(3x+4)*5....................................... matlb quotientrule apply krlo ok janu i am itself 3rd year student
online, we generally use ^ for powers, and * for multiplication. Why bother changing the way it was posted?

And the quotient rule says

5(3x+4)^4(3)(4x+1)^2 - (3x+4)^5(2(4x+1)(4))
-----------------------------------------
(4x+1)^4

(3x+4)^4 (15(4x+1)-8(3x+4))
------------------------
(4x+1)^3

(36x-17)(3x+4)^4 / (4x+1)^3
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