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Toisen derivaatan laskin

Laske ax^n:n toinen derivaatta.

Johdanto

Second Derivative Calculator — Compute the second derivative of ax^n. Enter Coefficient a, Exponent n, x to get an instant, accurate result.

Kaava

Power rule applied twice: d²/dx²[a×xⁿ] = a×n×(n−1)×x^(n−2), evaluated exactly at the given x.

Vaihe vaiheelta

  1. Enter the Coefficient a.
  2. Enter the Exponent n.
  3. Enter the x.
  4. Click Calculate to see your result instantly.

Käytännön esimerkki

Example: With Coefficient a = 2, Exponent n = 3, x = 2, the Second Derivative Calculator gives Coefficient: 12, Exponent: 1, Value At X: 24.

Usein Kysytyt Kysymykset

What does the second derivative tell you?
It describes the rate of change of the slope — often interpreted as concavity or acceleration.
Is this exact or numeric?
Exact, applying the power rule symbolically twice before evaluating at x.
What inputs does the Second Derivative Calculator need?
You'll need to provide: Coefficient a, Exponent n, x. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Second Derivative Calculator?
The Second Derivative Calculator applies the formula exactly as calculated — Power rule applied twice: d²/dx²[a×xⁿ] = a×n×(n−1)×x^(n−2), evaluated exactly at the given x. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Second Derivative Calculator free to use?
Yes, the Second Derivative Calculator is completely free, requires no signup, and runs instantly in your browser.

Tietoa: Toisen derivaatan laskin

The Second Derivative Calculator uses a real, verifiable formula — Power rule applied twice: d²/dx²[a×xⁿ] = a×n×(n−1)×x^(n−2), evaluated exactly at the given x. — so results are accurate every time, not an approximation.