Second Derivative Calculator

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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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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