What is the derivative of y=e^{cx} ?

The derivative of y=e^{cx} is e^{cx}c

What is the first derivative of y=e^{cx} ?

The first derivative of y=e^{cx} is e^{cx}c

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derivative of

y = e^{c x}

e^{c x} c

Solution steps

\frac{d}{d x} (e^{c x})

Apply the chain rule:

e^{c x} \frac{d}{d x} (c x)

= e^{c x} \frac{d}{d x} (c x)

\frac{d}{d x} (c x) = c

= e^{c x} c

\int_{0}^{4} (5 - x) x d x

x e^{y}

\int \frac{1}{x ^{2} + 4 x - 5} d x

t^{2} y^{^{'}} + 2 t y = y^{3}

y^{^{'}} = \frac{2 sec ( y )}{( x - 2 ) ^{2}}

What is the derivative of y=e^{cx} ?
The derivative of y=e^{cx} is e^{cx}c
What is the first derivative of y=e^{cx} ?
The first derivative of y=e^{cx} is e^{cx}c