Second Derivative Calculator

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Second Derivative calculator tool is used to find the second derivative of a function by differentiating the

function twice. It is a very important tool used for find derivative any math expression with respective to a

variable. The first derivative of the function denoted by F’ and the second derivative of function denoted by

F”

 

Example 1: Find the second derivative of the given function of 5 x^2


Step 1: First derivative of the function.


F’(x) = d/dx (5x^2) = 5 d/dx(x^2)


F’(x) = 5(2x) = 10 x.


Step 2: Second derivative of the function


F”(x) = d/dx (10 x)


F”(x) =10 d/dx(x)


F”(x) = 10 (1) =10


Second derivative of 5 x^2 is 10.


 

Example 2: Find the second derivative of the given function of x^3 +4x


Step 1: First derivative of the function.


F’(x) = d/dx (x^3+4x) = d/dx(x^3) + d/dx (4x)


F’(x) =3x^2+4


Step 2: Second derivative of the function


F”(x) =d/dx (3x^2+4)


F”(x) =d/dx (3x^2) + d/dx (4)


F”(x) =3 d/dx(x^2) +0


F”(x) =3(2x)


F”(x) =6x


Second derivative of x^3 +4x is 6x.


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