What is (\partial)/(\partial x)((4+5y)^x) ?

The answer to (\partial)/(\partial x)((4+5y)^x) is (4+5y)^xln(4+5y)

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(\partial)/(\partial x)((4+5y)^x)

\frac{\partial}{\partial x} ((4 + 5 y)^{x})

(4 + 5 y)^{x} ln (4 + 5 y)

Solution steps

\frac{\partial}{\partial x} ((4 + 5 y)^{x})

Treat

y

as a constant

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= (4 + 5 y)^{x} ln (4 + 5 y)

\int_{1}^{5} 5 r^{2} ln (r) d r

x \to \infty lim (c^{x})

x \to - \infty lim (2)

y^{^{'}} + y cos (x) = 4 cos (x), y (0) = 6

(- 2.2) (1.2)

What is (\partial)/(\partial x)((4+5y)^x) ?
The answer to (\partial)/(\partial x)((4+5y)^x) is (4+5y)^xln(4+5y)