Hello,

$f(x,y)=sin(xy)-x^2\\

 \dfrac{\partial f}{\partial x} =cos(xy)*y-2x\\
 \dfrac{\partial f}{\partial y} =cos(xy)*x\\

 \dfrac{dy}{dx} =-\dfrac{\dfrac{\partial f}{\partial x}}{\dfrac{\partial f}{\partial y}}\\

=- \dfrac{cos(xy)*y-2x}{cos(xy)*x}\\\\

=- \dfrac{y}{x}+ \dfrac{2}{cos(xy)} \\


$

6 0

4 years ago

Find the given derivative by finding the first few derivatives and observing the pattern that occurs. . . d^114 /dx^114 of (sinx

uranmaximum [27]

So in your given pattern, you need to find first the derivatives and observe the patter that occurs in the given functions. So with this kind of pattern, every fourth one is the same; that makes the 114th derivative is the same as the second derivative. It is known since 114/4 has a remainder of two

8 0

3 years ago

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