Question

so find for me the derivertive of thise one 3x^2+siny^2+y=e^4x

Answer 1

derivative with respect to ??? (x or y)

Answer 2

with respect to x @PATTOOO

Answer 3

6x=4*e^4x
other y terms will be 0

Answer 4

thise is an implicit diffriatiation hence findin dy/dx can be found differently and y can not be zero

Answer 5

ohh sry

Answer 6

\[\sin(y^{2}) = e^{4x}-3x^{2} \]
\[2 y cos(y^{2}) \frac{dy}{dt}=4e^{4x}\frac{dx}{dt}-6x\frac{dx}{dt}\]
\[\frac {dy} {dt}(2ycos(y^2)) = \frac{dx}{dt}(4e^{4x}-6x)\]
\[y'=\frac{(2e^{4x}-3x)sec(y^2)}{y}\]