Accueil – Exercices en ligne – Exercices en anglais – Niveau avancé

Derivative calculations and tangents

modification mardi 23 septembre 2026.

Derivative by level

Derivative by formula without logarithm or exponential

Derivative by formula with exponential function

Derivative by formula with logarithm function

Derivative by formula with trigonometric functions

Tangent equations

Derivative by level

Derivative calculations. Level 1

Derivative calculations. Level 2

Derivative calculations. Level 3

Derivative by formula without logarithm or exponential

Derivative of x↦ax+b

Derivative of x↦(ax+b)/c

Derivative of x↦ax²+bx+c (Level 1)

Derivative of x↦ax²+bx+c (Level 2)

Derivative of x↦k/x

Derivative of x↦k/x²

Derivative of x↦k*√(x) with k integer

Derivative of x↦k/(ax+b)

Derivative of x↦x^n (n ≥ 2)

Derivative of x↦k*x^n with k ≥ 2, 1 ≤ n ≤ 3

Derivative of x↦k*x^n with k ≥ 2, n ≥ 2 integers

Derivative of x↦ax^n+bx^p+cx+d

Derivative of function x↦(ax+b)(cx+d)

Derivative of x↦(dx+e)(ax²+bx+c)

Derivative of x↦(ax+b)/(cx+d) (Homographic function)

Derivative of x↦1/(k*x^n) with n≥2

Derivative of x↦a/(bx²+c)

Derivative x↦1/(ax+b)^n

Derivative of x↦(ax²+bx+c)/(dx+e) (progressive)

Derivative of x↦(ax²+bx+c)/(dx+e)

Derivative of x↦(ax+b)/(cx²+d)

Derivative of x↦(ax+b)*√(x)

Derivative of x↦ax+b+c/x

Derivative of x↦ax+b+c*√(x)

Derivative of x↦a*√(x)+b/x

Derivative of x↦ (ax²+bx+c)^n

Derivative of x↦1/(ax+b)²

Derivative of x↦1/(ax²+b)^n

Derivative by formula with exponential function

Derivative of x↦e^(ax+b)

Derivative of x↦ ke^(ax+b)

Derivative of x↦e^(a/x)

Derivative of x ↦ (ae^x+b)^n

Derivative of x ↦ (ae^(kx)+b)^n

Derivative of x↦e^(ax+b)/x

Derivative of x↦e^(ax²+bx+c)

Derivative of e^u (4 different formulas).

Derivative of x↦k*e^(ax²+b)

Derivative of x↦e^(kx)/(ax+b)

Derivative of x ↦ (ae^x+b)/(ce^x+d)

Derivative of x↦(ax²+bx+c)/e^x

Derivative of x↦(ax²+bx+c)e^x

Derivative of x↦(ax+b)e^x with a ≠ 0

Derivative of x↦(ax+b)e^(cx) with a>0 and c>0

Derivative of x↦(ax+b)e^(cx) with a≠0 and c<0

Derivative by formula with logarithm function

Derivative of x↦k*ln(x)

Derivative of x↦x*ln(x)

Derivative of x↦(ax+b)lnx

Derivative of x↦ln(x)/x

Derivative of x↦x^n*lnx with n interger, n ≥ 2

Derivative of x↦lnx/x^n

Derivative of x↦x^n*ln(x)

Derivative of x↦xln(x)+ax²+bx

Derivative of x↦x*(ln(x))^n

Derivative of x↦ln(ax+b)

Derivative of x↦ln(ax²+b)

Derivative of x↦ln(a*e^(kx)+b)

Derivative of x↦ln((ax+b)/(cx+d))

Derivative of x↦ln(ax+b)-cx

Derivative of x↦ln[(k*e^x)/(e^x+a)]

Derivative of x↦ln[(e^x+a)/(e^x+b)]

Derivative by formula with trigonometric functions

Derivative of x↦asin(x)+bcos(x)

Derivative of x↦(sin(x)+acos(x))(cos(x)+asin(x))

Derivative of the square of a trigonometric function

Derivative of the inverse of a trigonometric function

Derivative of the tangent function  : x↦tan(x)

Derivative of a quotient of trigonometric functions (1)

Derivative of a quotient of trigonometric functions (2)

Derivative of a quotient of trigonometric functions (3)

Derivative of x↦ksin(ax+b)+pcos(cx+d)

Tangent equations

Tangent equation given 𝑓 (𝑎) and 𝑓 ′ (𝑎)

Tangent equation (curve with equation y=c/d*x²)

Tangent equation (curve with equation y = k/x)

Tangent and quadratic polynomial

Tangent and homographic function

Tangent equation (curve with equation y=e^(mx))

Tangent equation (curve with equation y=ln(mx+p))