What is the derivative of 4sec^7(2-4x) ?

The derivative of 4sec^7(2-4x) is -112sec^7(2-4x)tan(2-4x)

What is the first derivative of 4sec^7(2-4x) ?

The first derivative of 4sec^7(2-4x) is -112sec^7(2-4x)tan(2-4x)

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derivative of

4 sec^{7} (2 - 4 x)

- 112 sec^{7} (2 - 4 x) tan (2 - 4 x)

Solution steps

\frac{d}{d x} (4 sec^{7} (2 - 4 x))

Take the constant out:

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

= 4 \frac{d}{d x} (sec^{7} (2 - 4 x))

Apply the chain rule:

7 (sec (2 - 4 x))^{6} \frac{d}{d x} (sec (2 - 4 x))

= 7 (sec (2 - 4 x))^{6} \frac{d}{d x} (sec (2 - 4 x))

\frac{d}{d x} (sec (2 - 4 x)) = - 4 sec (2 - 4 x) tan (2 - 4 x)

= 4 \cdot 7 (sec (2 - 4 x))^{6} (- 4 sec (2 - 4 x) tan (2 - 4 x))

Simplify

4 \cdot 7 sec^{6} (2 - 4 x) (- 4 sec (2 - 4 x) tan (2 - 4 x)) : - 112 sec^{7} (2 - 4 x) tan (2 - 4 x)

= - 112 sec^{7} (2 - 4 x) tan (2 - 4 x)

x \to 0 + lim (arcsin (2 x - 1))

\frac{d y}{d x}, 3 x^{3} y = 6

x \to π lim (cos (\frac{x}{6}))

f (x) = - \frac{1}{4} x^{4} + \frac{27}{2} x^{2}

\int \frac{m ^{2}}{m + 1} d m

What is the derivative of 4sec^7(2-4x) ?
The derivative of 4sec^7(2-4x) is -112sec^7(2-4x)tan(2-4x)
What is the first derivative of 4sec^7(2-4x) ?
The first derivative of 4sec^7(2-4x) is -112sec^7(2-4x)tan(2-4x)