Question

differentiate x^95 + x^23​

Answer 1

EXPLANATION.

Differentiate = x⁹⁵ + x²³.

As we know that,

⇒ d(x⁹⁵ + x²³)dx.

Formula of,

⇒ d(xⁿ)dx = nxⁿ⁻¹.

Using the formula, we get.

⇒ d(95x⁹⁵⁻¹ + 23x²³⁻¹)/dx.

⇒ 95x⁹⁴ + 23x²².

                                                                                                                   

MORE INFORMATION.

(1) = d(constant)/dx = 0.

(2) = d(ax)/dx = a.

(3) = d(xⁿ)/dx = nxⁿ⁻¹.

(4) = d(eˣ)/dx = eˣ.

(5) = d(aˣ)/dx = aˣ㏒(a).

(6) = d(㏒(x))/dx = 1/x.

(7) = d(㏒ₐx)/dx = 1/x㏒(a).

Answer 2

$\frak{ \underline{✰ \: To \: Differentiate \: \: ➣ }} \begin{cases} \tt \underline{ {x}^{95} \: + \: {x}^{23} } \end{cases}$

$\frak{ \underline{✰ \: Formula \: Used \: \: ➣ }} \begin{cases} \tt \underline{ d(x^{n})dx = nx^{n-1}} \end{cases}$

✰ EXPLANATION.

$\\ \\ \\ ✰ \: \tt \dfrac{d}{dx} [x {}^{95} \: + \: x {}^{23} ] \\\\\\ ➣ \tt \frac{d}{dx}[x {}^{95 } ] \: + \: \frac{d}{dx}[x {}^{23 } ] \\\\\\ \boxed{ \boxed { ➣ \: \: {\frak{ \purple{\: {95x {}^{94} \: + \: 23x {}^{22} }}}}}}$

✰ Hope it helps u ✰