What is (\partial)/(\partial x)(6ye^{7x}) ?

The answer to (\partial)/(\partial x)(6ye^{7x}) is 42e^{7x}y

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(\partial)/(\partial x)(6ye^{7x})

\frac{\partial}{\partial x} (6 y e^{7 x})

42 e^{7 x} y

Solution steps

\frac{\partial}{\partial x} (6 y e^{7 x})

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 y \frac{\partial}{\partial x} (e^{7 x})

Apply the chain rule:

e^{7 x} \frac{\partial}{\partial x} (7 x)

= e^{7 x} \frac{\partial}{\partial x} (7 x)

\frac{\partial}{\partial x} (7 x) = 7

= 6 y e^{7 x} \cdot 7

Simplify

= 42 e^{7 x} y

\frac{d y}{d x} = (\frac{x}{y - 2})^{{3}} ln (2 x)

\int_{0}^{\infty} x^{4} e^{- x} d x

\frac{d}{d x} (e^{2 x} - e^{x} + 1)

\frac{d}{d x} (x, x^{2}, x^{3})

\frac{d}{d x} (\frac{1}{a ^{2} + x ^{2}})

What is (\partial)/(\partial x)(6ye^{7x}) ?
The answer to (\partial)/(\partial x)(6ye^{7x}) is 42e^{7x}y