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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Popular >

\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)

13 \cdot e^{- 15 \cdot 0}

4 - x^{2} 4 + x^{2}

e^{- a t} cos^{3} (b) t

\frac{x}{2 - x}

6.1 \cdot 1 0^{- 4}

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)