What is the first derivative of e^6x ?

The first derivative of e^6x is e^6

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derivative of e^6x

derivative of

e^{6} x

e^{6}

Solution steps

\frac{d}{d x} (e^{6} x)

Take the constant out:

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

= e^{6} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= e^{6} \cdot 1

Simplify

= e^{6}

y = \frac{( x + 1 )}{( x - 1 )}

\frac{d}{d x} ((10 x - 7 y) i - (7 x - 2 y) j)

y = 7 x^{3} + 2 x^{2} + 4 x

\frac{3 y ^{2}}{2}

f (x) = (3 x - 4)^{2} (x - 2)