Chain Rule of Differentiation | Chain Rule of Derivatives

Quantitative Reasoning ( Q . R - I I ) The derivative of a function tells us the rate of change of one quantity with respect to another. Mathematically, the derivative of a function f ( x ) is written as: f ' ( x ) = d / dx f ( x ) #whatisderivative #definederivative #rulesofderivative #principlesofderivatives 1) d/dx ( c ) = 0 2) d/dx ( x ) = 1 3) d/dx ( cx ) = c 4) d/dx ( x^n) = n ( X ) ^ n - 1 5) d/dx { f(x) + g(x) } = f ' (x) + g ' (x) 6) d/ dx { f(x) g(x) } = f(x)g'(x) + g(x) f'(x) 7) d/ dx { U / V } = { U d/dx(V);- V d/dx(U) } / V^2 8) dy / dx = dy / du * du / dx Simple Meaning ✓ It tells how fast a quantity changes. ✓ It also gives the slope of the tangent line to a curve at a point. Applications Derivatives are used to: ✓ Find maximum and minimum values ✓ Study motion (velocity and acceleration) ✓ Analyze growth and decay ✓ Solve problems in physics, economics, and engineering Links Play List    / @mstatistics      • Solved Papers Punjab University Lahore.      • Basic Statistics All Topics with Solved  E...      • Measures of Location All Topics with Solve...      • Measures of Dispersion All Topics With Sol...      • Index Numbers All Topics      • Probability All Topics with Solved Exercis...      • Random Variables All Topics with Solved Ex...      • Discrete Probability Distributions All top...      • Continuous Probability Distributions. All ...      • Simple Regression & Correlation All Topics...      • Time Series All Topics      • Practicals  Solution ( Punjab University &...      • M.L.R.M & S.L.R.M Estimation & Testing all...      • Experimental Design and Analysis of Varian...      • Testing of Hypothesis  |  Parametric Tests...      • G.Q.R ( 101 ) Quantitative Reasoning  Comp...      • G.Q.R ( 202 ) Quantitative Reasoning  Comp...      • Sampling and Sampling Distributions      • Playlist      • MS : 251 Probability & Statistics BSCS      • Playlist