Question

Differentiating \[x=\sin y\] with respect to \[x\] gives which equation?

Options

• \[\frac{dy}{dx}=\cos y\]

• \[1=\sin y\frac{dy}{dx}\]

• \[1=\cos y\frac{dy}{dx}\]

• \[0=\cos y\frac{dy}{dx}\]

Answer 1

The derivative of \[x\] with respect to \[x\] is \[1\]. Differentiating \[\sin y\] gives \[\cos y\frac{dy}{dx}\].