Find dy dx if y-ex sinx

Y=e^x sinx. So dy dx=d dx(e^x sinx)=e^xd dx(sin x)+sin xd dx(e^x) =e^x cos x+e^x sinx=e^x(cos x+sin x). ...

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Basic Differentiation Rule

Find dy dx if...

Question

Find $\frac{d y}{d x}$ if $y = e^{x} s i n x$

$e^{x} c o s x$

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$e^{x} + c o s x$

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$e^{x} (c o s x + s i n x)$

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none of these

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Solution

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Similar questions

If $y = e^{x} f i n d \frac{d y}{d x}$

x y = e^{x - y}, find \frac{d y}{d x}

x^{y} = e^{x - y}

\frac{d y}{d x}

x = 1

e^{x} + e^{y} = e^{x + y}

\frac{d y}{d x} = - \frac{e^{x} (e^{y} - 1)}{e^{y} (e^{x} - 1)}

If e^{x} + e^{y} = e^{x + y}, prove that \frac{d y}{d x} = - \frac{e^{x} (e^{y} - 1)}{e^{y} (e^{x} - 1)} or \frac{d y}{d x} + e^{y - x} = 0

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