DeannahF750986
DeannahF750986
31-10-2022
Mathematics
Answered
Let f(x)=−2sec^2(x^2). Find f′(x).
Answer :
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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