Performs numerical differentiation at a point.
differentiate(expr, var, x[, ε])
expris an expression in one variable
varis the variable in
xis the point at which the derivative is computed
εis the radius about
xused for numerical differentiation
differentiate computes a symmetric difference quotient for a real function of a real variable at a particular point in its domain:
differentiate(f(t), t, x, ε) = [f(t + ε) − f(t − ε)] / (2⋅ε).
ε is set to 10^−6.
differentiate(x^2, x, 1)
differentiate(e^x, x, 1)
∫(differentiate(x^2, x, t), t, 0, 2)