What is the derivative of 3sec^2(pix-1) ?

The derivative of 3sec^2(pix-1) is 6pisec^2(pix-1)tan(pix-1)

What is the first derivative of 3sec^2(pix-1) ?

The first derivative of 3sec^2(pix-1) is 6pisec^2(pix-1)tan(pix-1)

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\frac{d}{d x} (3 sec^{2} (π x - 1))

6 π sec^{2} (π x - 1) tan (π x - 1)

Solution steps

\frac{d}{d x} (3 sec^{2} (π x - 1))

Take the constant out:

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

= 3 \frac{d}{d x} (sec^{2} (π x - 1))

Apply the chain rule:

2 sec (π x - 1) \frac{d}{d x} (sec (π x - 1))

= 2 sec (π x - 1) \frac{d}{d x} (sec (π x - 1))

\frac{d}{d x} (sec (π x - 1)) = sec (π x - 1) tan (π x - 1) π

= 3 \cdot 2 sec (π x - 1) sec (π x - 1) tan (π x - 1) π

Simplify

3 \cdot 2 sec (π x - 1) sec (π x - 1) tan (π x - 1) π : 6 π sec^{2} (π x - 1) tan (π x - 1)

= 6 π sec^{2} (π x - 1) tan (π x - 1)

f (x) = \frac{x ^{2}}{x + 1}, at x = 2

\int 20 (e^{\frac{3}{4} x} - e^{2 x}) d x

\int_{4}^{\infty} 7 e^{- \frac{y}{2}} d y

\frac{\partial}{\partial y} (x y e^{x + y})

\int (sin (2 x) - sin (3 x))^{2} d x

What is the derivative of 3sec^2(pix-1) ?
The derivative of 3sec^2(pix-1) is 6pisec^2(pix-1)tan(pix-1)
What is the first derivative of 3sec^2(pix-1) ?
The first derivative of 3sec^2(pix-1) is 6pisec^2(pix-1)tan(pix-1)