What is the derivative of f(x)=sec^2(pix) ?

The derivative of f(x)=sec^2(pix) is 2pisec^2(pix)tan(pix)

What is the first derivative of f(x)=sec^2(pix) ?

The first derivative of f(x)=sec^2(pix) is 2pisec^2(pix)tan(pix)

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derivative of

f (x) = sec^{2} (π x)

2 π sec^{2} (π x) tan (π x)

Solution steps

\frac{d}{d x} (sec^{2} (π x))

Apply the chain rule:

2 sec (π x) \frac{d}{d x} (sec (π x))

= 2 sec (π x) \frac{d}{d x} (sec (π x))

\frac{d}{d x} (sec (π x)) = sec (π x) tan (π x) π

= 2 sec (π x) sec (π x) tan (π x) π

Simplify

2 sec (π x) sec (π x) tan (π x) π : 2 π sec^{2} (π x) tan (π x)

= 2 π sec^{2} (π x) tan (π x)

\int - \frac{1}{4} x d x

e^{- 2 t} cos (3 t)

\frac{\partial}{\partial y} (y + 1)

\frac{6}{( s + 1 ) ( 2 s ^{2} + 5 s + 3 )}

\int_{0}^{1} \frac{x ^{2}}{( x + 3 ) ^{2}} d x

What is the derivative of f(x)=sec^2(pix) ?
The derivative of f(x)=sec^2(pix) is 2pisec^2(pix)tan(pix)
What is the first derivative of f(x)=sec^2(pix) ?
The first derivative of f(x)=sec^2(pix) is 2pisec^2(pix)tan(pix)