မည်သည့် သင်္ချာပြဿနာကိုမဆိုဖြေရှင်းပါ

ခြေလှမ်းတစ်လှမ်း

1. \frac{d}{dx}\left[\left(x^{2} + 1\right)^{5}\right]

   Start from the derivative to compute.

2. 5 \left(x^{2} + 1\right)^{4} \frac{d}{d x} \left(x^{2} + 1\right)

   Chain rule + power rule: (uⁿ)′ = n·uⁿ⁻¹·u′ with u = x^{2} + 1, n = 5.

3. 5 \left(x^{2} + 1\right)^{4} \left(\frac{d}{d x} 1 + \frac{d}{d x} x^{2}\right)

   Sum rule: differentiate term by term.

4. 5 \left(x^{2} + 1\right)^{4} \frac{d}{d x} x^{2}

   The derivative of a constant is 0.

5. 10 x \left(x^{2} + 1\right)^{4}

   Power rule: (xⁿ)′ = n·xⁿ⁻¹ with n = 2.