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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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