What is the derivative of sin(y^2) ?

The derivative of sin(y^2) is cos(y^2)*2y

What is the first derivative of sin(y^2) ?

The first derivative of sin(y^2) is cos(y^2)*2y

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derivative of

sin (y^{2})

cos (y^{2}) \cdot 2 y

Solution steps

\frac{d}{d y} (sin (y^{2}))

Apply the chain rule:

cos (y^{2}) \frac{d}{d y} (y^{2})

= cos (y^{2}) \frac{d}{d y} (y^{2})

\frac{d}{d y} (y^{2}) = 2 y

= cos (y^{2}) \cdot 2 y

y = sin^{2} (x) 0.2 x

y = e^{3} x

(x^{2} + 3 x + 2)^{2} + ln (e) x^{2}

e^{2 x - 1}

\frac{1}{x ^{\frac{3}{2}}}

What is the derivative of sin(y^2) ?
The derivative of sin(y^2) is cos(y^2)*2y
What is the first derivative of sin(y^2) ?
The first derivative of sin(y^2) is cos(y^2)*2y