What is the derivative of sec(x-5x^4) ?

The derivative of sec(x-5x^4) is sec(x)tan(x)-20x^3

What is the first derivative of sec(x-5x^4) ?

The first derivative of sec(x-5x^4) is sec(x)tan(x)-20x^3

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\frac{d}{d x} (sec (x) - 5 x^{4})

sec (x) tan (x) - 20 x^{3}

Solution steps

\frac{d}{d x} (sec (x) - 5 x^{4})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sec (x)) - \frac{d}{d x} (5 x^{4})

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

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= sec (x) tan (x) - 20 x^{3}

x \to - 6 lim (\frac{∣ x + 6 ∣}{x + 6})

\frac{d}{d x} (3 x^{2} + 3 x + cos (x))

\int tan^{7} (x) sec^{3} (x) d x

\frac{d}{d x} (\frac{sin ( x )}{x ^{2} - 1})

y = 14 x sin (x), (\frac{π}{2}, 7 π)

What is the derivative of sec(x-5x^4) ?
The derivative of sec(x-5x^4) is sec(x)tan(x)-20x^3
What is the first derivative of sec(x-5x^4) ?
The first derivative of sec(x-5x^4) is sec(x)tan(x)-20x^3