What is the derivative of y=e^{cos(3)x^2} ?

The derivative of y=e^{cos(3)x^2} is e^{cos(3)x^2}*2cos(3)x

What is the first derivative of y=e^{cos(3)x^2} ?

The first derivative of y=e^{cos(3)x^2} is e^{cos(3)x^2}*2cos(3)x

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derivative of

y = e^{c o s (3) x^{2}}

e^{c o s (3) x^{2}} \cdot 2 cos (3) x

Solution steps

\frac{d}{d x} (e^{c o s (3) x^{2}})

Apply the chain rule:

e^{c o s (3) x^{2}} \frac{d}{d x} (cos (3) x^{2})

= e^{c o s (3) x^{2}} \frac{d}{d x} (cos (3) x^{2})

\frac{d}{d x} (cos (3) x^{2}) = 2 cos (3) x

= e^{c o s (3) x^{2}} \cdot 2 cos (3) x

What is the derivative of y=e^{cos(3)x^2} ?
The derivative of y=e^{cos(3)x^2} is e^{cos(3)x^2}*2cos(3)x
What is the first derivative of y=e^{cos(3)x^2} ?
The first derivative of y=e^{cos(3)x^2} is e^{cos(3)x^2}*2cos(3)x