What is the derivative of 2sec^2(5pix-1) ?

The derivative of 2sec^2(5pix-1) is 20pisec^2(5pix-1)tan(5pix-1)

What is the first derivative of 2sec^2(5pix-1) ?

The first derivative of 2sec^2(5pix-1) is 20pisec^2(5pix-1)tan(5pix-1)

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Popular >

\frac{d}{d x} (2 sec^{2} (5 π x - 1))

20 π sec^{2} (5 π x - 1) tan (5 π x - 1)

Solution steps

\frac{d}{d x} (2 sec^{2} (5 π x - 1))

Take the constant out:

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

= 2 \frac{d}{d x} (sec^{2} (5 π x - 1))

Apply the chain rule:

2 sec (5 π x - 1) \frac{d}{d x} (sec (5 π x - 1))

= 2 sec (5 π x - 1) \frac{d}{d x} (sec (5 π x - 1))

\frac{d}{d x} (sec (5 π x - 1)) = sec (5 π x - 1) tan (5 π x - 1) \cdot 5 π

= 2 \cdot 2 sec (5 π x - 1) sec (5 π x - 1) tan (5 π x - 1) \cdot 5 π

Simplify

2 \cdot 2 sec (5 π x - 1) sec (5 π x - 1) tan (5 π x - 1) \cdot 5 π : 20 π sec^{2} (5 π x - 1) tan (5 π x - 1)

= 20 π sec^{2} (5 π x - 1) tan (5 π x - 1)

\frac{d}{d x} (\frac{5}{x} + \frac{x}{5})

\frac{d y}{d x} = 16 x + y - 16

\int x ln (\frac{1}{x}) d x

(1.1) (2.4)

5 x - 4 x

What is the derivative of 2sec^2(5pix-1) ?
The derivative of 2sec^2(5pix-1) is 20pisec^2(5pix-1)tan(5pix-1)
What is the first derivative of 2sec^2(5pix-1) ?
The first derivative of 2sec^2(5pix-1) is 20pisec^2(5pix-1)tan(5pix-1)