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Exercise

$\frac{d^2}{dx^2}\arctan\left(\sin\left(x\right)\right)$

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Final answer to the exercise

$\frac{\left(-1-\sin\left(x\right)^2\right)\sin\left(x\right)-2\cos\left(x\right)^2\sin\left(x\right)}{\left(1+\sin\left(x\right)^2\right)^2}$

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  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Similar Questions Solved

$\frac{d}{dx}\left(\arcsin\left(4x^2\right)\right)$

$\frac{d^2}{dx^2}\left(x\cdot\cos\left(x\right)\right)$

$\frac{d}{dx}\left(\arctan\left(3x\right)\right)$

$\frac{d}{dx}\left(\arcsin\left(3x\right)\right)$

$\frac{d}{dx}\tan\left(x\right)$

$\frac{d}{dx}\left(\arcsin\left(4x\right)\right)$

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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