What is (\partial)/(\partial x)(Ce^{2x}-3) ?

The answer to (\partial)/(\partial x)(Ce^{2x}-3) is 2e^{2x}C

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(\partial)/(\partial x)(Ce^{2x}-3)

\frac{\partial}{\partial x} (C e^{2 x} - 3)

2 e^{2 x} C

Solution steps

\frac{\partial}{\partial x} (C e^{2 x} - 3)

Treat

C

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (C e^{2 x}) - \frac{\partial}{\partial x} (3)

\frac{\partial}{\partial x} (C e^{2 x}) = C e^{2 x} \cdot 2

\frac{\partial}{\partial x} (3) = 0

= C e^{2 x} \cdot 2 - 0

Simplify

= 2 e^{2 x} C

n = 0 \sum \infty (x - 2 x^{2})^{n}

x \to 0 + lim (x^{12} \cdot ln (x))

y^{^{''}} + 43 y^{^{'}} + 12 y = 0

\int \frac{1}{7} e^{7 x} d x

\frac{e ^{- 2 s}}{s ^{2} - 3 s - 4}

What is (\partial)/(\partial x)(Ce^{2x}-3) ?
The answer to (\partial)/(\partial x)(Ce^{2x}-3) is 2e^{2x}C