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MyEducationPath.com :: Khan Academy : Calculus: Taking derivatives
Calculating derivatives. Power rule. Product and quotient rules. Chain Rule. Implicit differentiation. Derivatives of common functions. Newton Leibniz and Usain Bolt. Slope of a line secant to a curve. Slope of a secant line example 1. Slope of a secant line example 2. Slope of a secant line example 3. Approximating instantaneous rate of change word problem. Approximating equation of tangent line word problem. Slope of secant lines. Derivative as slope of a tangent line. Tangent slope as limiting value of secant slope example 1. Tangent slope as limiting value of secant slope example 2. Tangent slope as limiting value of secant slope example 3. Tangent slope is limiting value of secant slope. Calculating slope of tangent line using derivative definition. Derivatives 1. The derivative of f(x)=x^2 for any x. Formal and alternate form of the derivative. Formal and alternate form of the derivative for ln x. Formal and alternate form of the derivative example 1. The formal and alternate form of the derivative. Interpreting slope of a curve exercise. Recognizing slope of curves. Calculus: Derivatives 1. Calculus: Derivatives 2. Derivative Intuition Module. Derivative intuition. Graphs of functions and their derivatives example 1. Where a function is not differentiable. Identifying a function's derivative example. Figuring out which function is the the derivative. Graphs of functions and their derivatives. Intuitively drawing the derivative of a function. Intuitively drawing the antiderivative of a function. Visualizing derivatives exercise. Visualizing derivatives. Power Rule. Is the power rule reasonable. Derivative properties and polynomial derivatives. Power rule. Proof: d/dx(x^n). Proof: d/dx(sqrt(x)). Power rule introduction. Derivatives of sin x, cos x, tan x, e^x and ln x. Special derivatives. Chain rule introduction. Chain rule definition and example. Chain rule with triple composition. Chain rule for derivative of 2^x. Derivative of log with arbitrary base. Chain rule 1. Extreme Derivative Word Problem (advanced). The Chain Rule. Chain Rule Examples. Even More Chain Rule. More examples using multiple rules. Derivatives of sin x, cos x, tan x, e^x and ln x. Special derivatives. Applying the product rule for derivatives. Product rule for more than two functions. Product rule. Quotient rule from product rule. Quotient rule for derivative of tan x. Quotient rule. Using the product rule and the chain rule. Product Rule. Quotient rule and common derivatives. Equation of a tangent line. Implicit differentiation. Showing explicit and implicit differentiation give same result. Implicit derivative of (x-y)^2 = x + y + 1. Implicit derivative of y = cos(5x - 3y). Implicit derivative of (x^2+y^2)^3 = 5x^2y^2. Finding slope of tangent line with implicit differentiation. Implicit derivative of e^(xy^2) = x - y. Derivative of x^(x^x). Implicit differentiation. Proof: d/dx(ln x) = 1/x. Proof: d/dx(e^x) = e^x. Proofs of derivatives of ln(x) and e^x. Newton Leibniz and Usain Bolt. Slope of a line secant to a curve. Slope of a secant line example 1. Slope of a secant line example 2. Slope of a secant line example 3. Approximating instantaneous rate of change word problem. Approximating equation of tangent line word problem. Slope of secant lines. Derivative as slope of a tangent line. Tangent slope as limiting value of secant slope example 1. Tangent slope as limiting value of secant slope example 2. Tangent slope as limiting value of secant slope example 3. Tangent slope is limiting value of secant slope. Calculating slope of tangent line using derivative definition. Derivatives 1. The derivative of f(x)=x^2 for any x. Formal and alternate form of the derivative. Formal and alternate form of the derivative for ln x. Formal and alternate form of the derivative example 1. The formal and alternate form of the derivative. Interpreting slope of a curve exercise. Recognizing slope of curves. Calculus: Derivatives 1. Calculus: Derivatives 2. Derivative Intuition Module. Derivative intuition. Graphs of functions and their derivatives example 1. Where a function is not differentiable. Identifying a function's derivative example. Figuring out which function is the the derivative. Graphs of functions and their derivatives. Intuitively drawing the derivative of a function. Intuitively drawing the antiderivative of a function. Visualizing derivatives exercise. Visualizing derivatives. Power Rule. Is the power rule reasonable. Derivative properties and polynomial derivatives. Power rule. Proof: d/dx(x^n). Proof: d/dx(sqrt(x)). Power rule introduction. Derivatives of sin x, cos x, tan x, e^x and ln x. Special derivatives. Chain rule introduction. Chain rule definition and example. Chain rule with triple composition. Chain rule for derivative of 2^x. Derivative of log with arbitrary base. Chain rule 1. Extreme Derivative Word Problem (advanced). The Chain Rule. Chain Rule Examples. Even More Chain Rule. More examples using multiple rules. Derivatives of sin x, cos x, tan x, e^x and ln x. Special derivatives. Applying the product rule for derivatives. Product rule for more than two functions. Product rule. Quotient rule from product rule. Quotient rule for derivative of tan x. Quotient rule. Using the product rule and the chain rule. Product Rule. Quotient rule and common derivatives. Equation of a tangent line. Implicit differentiation. Showing explicit and implicit differentiation give same result. Implicit derivative of (x-y)^2 = x + y + 1. Implicit derivative of y = cos(5x - 3y). Implicit derivative of (x^2+y^2)^3 = 5x^2y^2. Finding slope of tangent line with implicit differentiation. Implicit derivative of e^(xy^2) = x - y. Derivative of x^(x^x). Implicit differentiation. Proof: d/dx(ln x) = 1/x. Proof: d/dx(e^x) = e^x. Proofs of derivatives of ln(x) and e^x.
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