Question

$\mathfrak{What \: is \: the \: difference between} \: \frac{d}{dx}( {e}^{x} ) \mathfrak{and} \: \frac{d}{dx}({a}^{x})$
Because it is given in a formula chart that......

$\frac{d}{dx}( {e}^{x} ) = {e}^{x} \: \:but\: \frac{d}{dx}( {a}^{x} ) = ( {a}^{x} \: \times log_{a}x)$
So please explain me fast​

Answer 1

Bro ....

e^x is an exponential term

It's relation with differential formula is not same as a^x.

It's basic formula bro ....

It doesn't need any explanation.

exponential degree is always same whether you differentiate it or Integrate it.

But a^x is not an exponential degree.

It'll change according to x .... that's why it's differential and integral formula are different.

Kindly remeber this.

#RITZ