What is the derivative of f(t)=4sec(9)(pit-2) ?

The derivative of f(t)=4sec(9)(pit-2) is 4pisec(9)

What is the first derivative of f(t)=4sec(9)(pit-2) ?

The first derivative of f(t)=4sec(9)(pit-2) is 4pisec(9)

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derivative of

f (t) = 4 sec (9) (π t - 2)

4 π sec (9)

Solution steps

\frac{d}{d t} (4 sec (9) (π t - 2))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 sec (9) \frac{d}{d t} (π t - 2)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 4 sec (9) (\frac{d}{d t} (π t) - \frac{d}{d t} (2))

\frac{d}{d t} (π t) = π

\frac{d}{d t} (2) = 0

= 4 sec (9) (π - 0)

Simplify

= 4 π sec (9)

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What is the derivative of f(t)=4sec(9)(pit-2) ?
The derivative of f(t)=4sec(9)(pit-2) is 4pisec(9)
What is the first derivative of f(t)=4sec(9)(pit-2) ?
The first derivative of f(t)=4sec(9)(pit-2) is 4pisec(9)