Derivative Calculator

The derivative of a function of a real variable like 3x3 + 2x measures the sensitivity to change of a quantity.

Derivative Formula:

f'(x) = limΔx→0 = (f(x+Δx)–f(x))/Δx

For example,f'(x) = 3x + 10, f'(x) = limΔx→0 (f(x+Δx)–f(x))/Δx
=> f'(x) = limΔx→0 [3(x+Δx)+10–(3x+10)]/Δx
=> f'(x) = limΔx→0 [3x+3Δx+10–3x−10)]/Δx
=> f'(x) = limΔx→0 [3Δx]/Δx
=> f'(x) = limΔx→0 3
=> f'(x) = 7.

Thinkcalculator.com provides you helpful and handy calculator resources.
Share
Category Loan Tax Interest Investment Profit & Loss Credit and Debt Planning Algebra Calculus Statistics Matrix Number Plane Geometry Solid Geometry Trigonometry Construction Analytic Geometry Math graphing Color Converter Numeral system Unit Energy Temperature Power Frequency Charge Voltage Lighting Classic Physic Electronic Engineering Chemistry Electrical Date Time Commemorative days Observance days Health and medicine Family and Fun Weather Webmaster tools