Math, asked by salmansachu150, 4 months ago

Differentiate a^x .?​

Answers

Answered by vivekydv1109
0

Step-by-step explanation:

y=a^x

both side multiply log

logy=loga^x

1/y dy/dx=loga.1

dy/dx=y loga

=a^x loga

Answered by GeniusYH
0

Answer:

a^{x}·ln(a)

Step-by-step explanation:

Let y = a^{x}

⇒ x = log y to the base a.

Differentiating both sides w.r.t x,

⇒ 1 = \frac{1}{y \ ln(a)} · \frac{dy}{dx}

\frac{dy}{dx} = y · ln(a)

As y = a^{x}, Substituting it in,

\frac{d}{dx} a^{x} = a^{x}·ln(a)

Hoping that I have not made any mistakes, You're welcome.

Hope you have found my answer useful. If my answer deserves a brainliest, do mark it.

GeniusH

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