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ਕਦਮ ਦਰ ਕਦਮ

1. \frac{d}{dx}\left[x^{4}\right]

   Differentiate 2 times, one derivative at a time.

2. 4 x^{3}

   Power rule: (xⁿ)′ = n·xⁿ⁻¹ with n = 4.

3. f^{(1)}(x) = 4 x^{3}

   That is derivative number 1.

4. 4 \frac{d}{d x} x^{3}

   Constant multiple rule: pull the constant out.

5. 12 x^{2}

   Power rule: (xⁿ)′ = n·xⁿ⁻¹ with n = 3.

6. f^{(2)}(x) = 12 x^{2}

   That is derivative number 2.

ਜਵਾਬ ਦਿਓ

f''(x) = 12 x^{2}