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## Homework Statement

Find derivative of:

[itex] h(x) = 3e^{sin(x+2)} [/itex]

## Homework Equations

chain rule of derivatives, product rule(?)

## The Attempt at a Solution

I'm quite sure I'm doing this wrong. Because the exponent is a product, for the derivative of the exponent I would have to use the product rule? So:

[itex] h'(x) = sin(x+2)(3e^{sin(x+2)-1})(cos(x+2) + sin(1)) [/itex]

[itex] thank you for your help [/itex]