Differential Calculus - Terms, Formulas, …
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Differential Calculus Formulas d/dx e x = e x d/dx a x = a x. ln .a , where a > 0, a ≠ 1 d/dx ln x = 1/x, x > 0 d/dx √x = 1/ (2 √x) d/dx x^n = nx^ (n-1) d/dx sin x = cos x d/dx (u + v) = du/dx + dv/dx d/dx (uv) = u dv/dx + v du/dx d/dx (u^n) = nu^(n-1) du/dx d/dx e x = e x d/dx a x = a x. ln .a , where a > 0, a ≠ 1 d/dx ln x = 1/x, x > 0 d/dx √x = 1/ (2 √x) Derivative of a Constant: If f (x) = c (where c is a constant), then f' (x) = 0. Derivative of x^n: If f (x) = x^n, then f' (x) = nx^ (n-1).
d/dx e x = e x
d/dx a x = a x. ln .a , where a > 0, a ≠ 1
d/dx ln x = 1/x, x > 0
d/dx √x = 1/ (2 √x)
d/dx x^n = nx^ (n-1)
d/dx sin x = cos x
d/dx (u + v) = du/dx + dv/dx
d/dx (uv) = u dv/dx + v du/dx
d/dx (u^n) = nu^(n-1) du/dx
Derivative of a Constant: If f (x) = c (where c is a constant), then f' (x) = 0.
Derivative of x^n: If f (x) = x^n, then f' (x) = nx^ (n-1).
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