In R programming, derivative of a function can be computed using deriv()
and D()
function. It is used to compute derivatives of simple expressions.
Syntax:
deriv(expr, name)
D(expr, name)Parameters:
expr: represents an expression or a formula with no LHS
name: represents character vector to which derivatives will be computed
Example 1:
# Expression or formula f = expression (x^2 + 5*x + 1)
# Derivative cat ( "Using deriv() function:\n" )
print ( deriv (f, "x" ))
cat ( "\nUsing D() function:\n" )
print ( D (f, 'x' ))
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Output:
Using deriv() function: expression({ .value <- x^2 + 5 * x + 1 .grad <- array(0, c(length(.value), 1L), list(NULL, c("x"))) .grad[, "x"] <- 2 * x + 5 attr(.value, "gradient") <- .grad .value }) Using D() function: 2 * x + 5
Example 2:
# Little harder derivative # Using deriv() Function cat ( "Using deriv() function:\n" )
print ( deriv ( quote ( sinpi (x^2)), "x" ))
# Using D() Function cat ( "\nUsing D() function:\n" )
print ( D ( quote ( sinpi (x^2)), "x" ))
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Output:
Using deriv() function: expression({ .expr1
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