Question

derivative of tan^4x​

Answer 1

Answer:

Step-by-step explanation:

We know the given function can be rewritten as

y = tan⁴(x) = [ ( tan(x) )⁴ ]

so upon applying chain rule

y' = 4 [ ( tan(x) )⁴ ⁻ ¹ ] . ( sec²(x) )

recall derivative of

tan (x) = sec² (x)

so,

y' = 4 [ ( tan (x) )³ ] . ( sec²(x) )

Answer 2

Step-by-step explanation:

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