What is (\partial)/(\partial x)(42e^{7x}y) ?

The answer to (\partial)/(\partial x)(42e^{7x}y) is 294e^{7x}y

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(\partial)/(\partial x)(42e^{7x}y)

\frac{\partial}{\partial x} (42 e^{7 x} y)

294 e^{7 x} y

Solution steps

\frac{\partial}{\partial x} (42 e^{7 x} y)

Treat

y

as a constant

Take the constant out:

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

= 42 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

= 42 y e^{7 x} \cdot 7

Simplify

= 294 e^{7 x} y

f (x) = \frac{x}{x ^{2} + 64}

\int_{0}^{1} 2 π (2 - y) (4 - 4 y^{2}) d y

y = - 2 x + 3, (0, 1)

\int x^{2} cos (a) x d x

\frac{\partial}{\partial x} (3 x e^{x y})

What is (\partial)/(\partial x)(42e^{7x}y) ?
The answer to (\partial)/(\partial x)(42e^{7x}y) is 294e^{7x}y