What is the derivative of e^{yx} ?

The derivative of e^{yx} is e^{yx}(x(dy)/(dx)+y)

What is the first derivative of e^{yx} ?

The first derivative of e^{yx} is e^{yx}(x(dy)/(dx)+y)

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\frac{d}{d x} (e^{y x})

e^{y x} (x \frac{d y}{d x} + y)

Solution steps

\frac{d}{d x} (e^{y x})

Apply the chain rule:

e^{y x} \frac{d}{d x} (y x)

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

\frac{d}{d x} (y x) = x \frac{d y}{d x} + y

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

f (x) = \frac{3}{x}, (9, \frac{1}{3})

\int (8 x^{3} (2 x^{4} + 4)^{4}) d x

\frac{d}{d x} (\frac{x ^{2}}{9 + 8 x})

x \to 0 lim (x^{4} sin (\frac{1}{x}))

\frac{s + 2}{s + 3}

What is the derivative of e^{yx} ?
The derivative of e^{yx} is e^{yx}(x(dy)/(dx)+y)
What is the first derivative of e^{yx} ?
The first derivative of e^{yx} is e^{yx}(x(dy)/(dx)+y)