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Differentiate.
$ f(x) = e^x $ cos $ x $
$$f^{\prime}(x)=e^{x}(-\sin x)+(\cos x) e^{x}=e^{x}(\cos x-\sin x)$$
00:29
Frank L.
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 3
Derivatives of Trigonometric Functions
Derivatives
Differentiation
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University of Michigan - Ann Arbor
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Hey, it's clear. So when you read here So we're gonna get D of t x of E to the X Times co sign of sex. He's the product rule, so we get E to the X d over the ex of co sign nuts. Less co sign of x d Over the ex Both need to the ex. This becomes negative Sign acts. Ms becomes e to the X. So this is heat The X Times co sign That's minus sign the offense.
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