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Calculus 3: Linearization, chain rule, gradient

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All Calculus 33D SpaceVector FunctionsDot and cross productEquations of lines and planesParametric curves, conic sectionsTangent vectors and arc lengthCylinders and quadric surfacesIntegrals of vector functionsArc length and curvatureMultivariable functionsSurface parameterizationPartial derivativesLinearization, chain rule, gradientTangent planes and linear approximationsOptimizationLagrange multipliersDouble integralsTriple integralsChanging coordinates for integrationSurface areaVector fields, divergence, and curlLine integralsGreen's TheoremFluxStokes' TheoremDivergence TheoremComplex numbers
Derivative of a Power Function

Find the derivative of (5x+3)4(5x + 3)^4.

Linearization, chain rule, gradientEasyVideo
Derivative of Power Function of Binomial

Find the derivative of (x2−3x)5(x^2 - 3x)^5.

Linearization, chain rule, gradientEasyVideo
Derivative of Cosine of x Squared

Find the derivative of cos⁡(x2)\cos(x^2).

Linearization, chain rule, gradientEasyVideo
Gradient of a Function at a Point

Find the gradient of the function f(x,y)=3x2+y+6f(x, y) = 3x^2 + y + 6 at the point (1,−1)(1, -1).

Linearization, chain rule, gradientEasyVideo
Finding Gradient of a Scalar Function

Find the gradient of a scalar function z=f(x,y)=x2+y2z = f(x, y) = x^2 + y^2, and evaluate it at the points (2, 1) and (-1, -1).

Linearization, chain rule, gradientEasyVideo