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Calculus 1: Inverse and Hyperbolic Trig Derivatives

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All Calculus 1LimitsDefinition of the DerivativeProduct and Quotient RulePower Rule and Basic DerivativesDerivatives of Trig FunctionsExponential and Logarithmic FunctionsChain RuleInverse and Hyperbolic Trig DerivativesImplicit DifferentiationRelated Rates ProblemsLogarithmic DifferentiationGraphing and Critical PointsOptimization ProblemsIndeterminate Forms and l'Hospital's RuleLinear Approximation and DifferentialsNewton Raphson MethodIndefinite IntegralsU SubstitutionDefinite Integrals and Fundamental TheoremApplications of Integration
Inverse Trig Derivative Example

Determine the derivative of f(t)=sin⁡(arccos⁡(t))f(t) = \sin{(\arccos{(t)})}

Inverse and Hyperbolic Trig DerivativesMediumVideo
Derivative of Inverse Tan

Let f(x)=tan⁡(x)f(x) = \tan{(x)} on the interval −π2\frac{-\pi}{2} < xx < π2\frac{\pi}{2}

What is ddx(arctan⁡(x))\frac{d}{dx}(\arctan{(x)}) ?

Inverse and Hyperbolic Trig DerivativesMediumVideo
Inverse Hyperbolic Sin Derivative

Find the derivative of f(x)=(sinh⁡−1(x))32f(x) = {(\sinh^{-1}(x))}^{\frac{3}{2}}

Inverse and Hyperbolic Trig DerivativesMediumVideo