How do you find the derivative of $y = x^{2} - \frac{1}{2} cos θ$ $y=x^2-1/2costheta$ ?

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How do you find the derivative of $y = x^{2} - \frac{1}{2} cos θ$ $y=x^2-1/2costheta$ ?

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Answer 1 · 2017-03-01T17:50:56

The function:

$y = x^{2} - \frac{1}{2} cos θ$ $y=x^2-1/2cos theta$

is a function of two variables so the term "derivative" is completely ambiguous.

We can, however, form the partial derivatives;

$\frac{\partial y}{\partial x} = 2 x$ $(partial y) / (partial x) = 2x$

$\frac{\partial y}{\partial θ} = \frac{1}{2} sin θ$ $(partial y) / (partial theta) = 1/2sintheta$

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How do you find the derivative of $y = x^{2} - \frac{1}{2} cos θ$ $y=x^2-1/2costheta$ ?

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How do you find the derivative of $y = x^{2} - \frac{1}{2} cos θ$ $y=x^2-1/2costheta$ ?