Question #47080

Differentiate with respect to x ;f(x) = tanx

sec^2x
cosec^2x
2x^2−2
cos^2x

Expert's answer

Answer on Question #47080 – Math – Differential Calculus | Equations

Question. Differentiate with respect to xx, f(x)=tanxf(x) = \tan x

a) (secx)2(\sec x)^2

b) (cscx)2(\csc x)^2

c) 2x222x^{2} - 2

d) (cosx)2(\cos x)^2

Solution. (tanx)/1(cosx)2=(secx)2(\tan x) / \frac{1}{(\cos x)^2} = (\sec x)^2

Answer. a) (secx)2(\sec x)^2

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