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2nd Derivative Calculator - Online Calculator - Tutorpace

2nd Derivative Calculator

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The calculator tool used to solve and evaluate 2nd derivative for a given equation is called as 2nd derivative calculator. First for a given equation f(x) the derivative f'(x) is derived. Later the derivative f"(x) derived for the equation f'(x) is called the second derivative of f(x). 


Example 1: Find the 2nd derivative of the given equation

f(x) = x^3 + 4 x^2 + 3 x + 2?

For the given equation first the first derivative should be derived.

That is, f'(x) = 3 x^2 + 8 x + 3

Now for the derived first derivative, f'(x)à 2nd derivative is derived.

Here f"(x) is derived from the derivative of 3 x^2 + 8 x + 3

Hence f"(x) = 6 x + 8.

Therefore, the 2nd derivative of the equation is 6X + 8.

 
Example 2: Find the 2nd derivative of the given equation
 
f(x) = X^4 + 5 X^3 + 6 X + 1?

For the given equation first the first derivative should be derived.

That is, f'(x) = 4 x^3 + 15 x^2 + 6

Now for the derived first derivative f'(x) 2nd derivative is derived.

Here f"(x) is the derived from the derivative of 4 x^3 + 15 x^2 + 6

Therefore, the 2nd derivative of the equation is 12x^2 + 30x.

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