DeannahF750986 DeannahF750986
  • 31-10-2022
  • Mathematics
contestada

Let f(x)=−2sec^2(x^2). Find f′(x).

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MerryB685877 MerryB685877
  • 31-10-2022

Given:

[tex]f(x)=2\sec ^2(x^2)[/tex]

Differentiate with respect to x

[tex]\begin{gathered} f^{\prime}(x)=2\lbrack2\sec (x^2)\rbrack\lbrack\sec (x^2)\tan (x^2)\rbrack\lbrack2x\rbrack \\ f^{\prime}(x)=8x\sec ^2(x^2)\tan (x^2) \end{gathered}[/tex]

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