What is the derivative of e^{5xy} ?

The derivative of e^{5xy} is e^{5xy}*5(y+x(dy)/(dx))

What is the first derivative of e^{5xy} ?

The first derivative of e^{5xy} is e^{5xy}*5(y+x(dy)/(dx))

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\frac{d}{d x} (e^{5 x y})

e^{5 x y} \cdot 5 (y + x \frac{d y}{d x})

Solution steps

\frac{d}{d x} (e^{5 x y})

Apply the chain rule:

e^{5 x y} \frac{d}{d x} (5 x y)

= e^{5 x y} \frac{d}{d x} (5 x y)

\frac{d}{d x} (5 x y) = 5 (y + x \frac{d y}{d x})

= e^{5 x y} \cdot 5 (y + x \frac{d y}{d x})

\int 14 (x - 5)^{6} d x

\frac{\partial}{\partial θ} (z)

\frac{d}{d x} ((2 x - 5)^{- 1} \cdot (4 x + 3)^{- 1})

\int_{0}^{3} \frac{9 e ^{9 x}}{1 + e ^{9 x}} d x

f (s 0) = s - 3 (s 2 + 4 s + 13)

What is the derivative of e^{5xy} ?
The derivative of e^{5xy} is e^{5xy}*5(y+x(dy)/(dx))
What is the first derivative of e^{5xy} ?
The first derivative of e^{5xy} is e^{5xy}*5(y+x(dy)/(dx))