What is the derivative of tan^2(x-1) ?

The derivative of tan^2(x-1) is 2sec^2(x)tan(x)

What is the first derivative of tan^2(x-1) ?

The first derivative of tan^2(x-1) is 2sec^2(x)tan(x)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= 2 tan (x) sec^{2} (x) - 0

Simplify

= 2 sec^{2} (x) tan (x)

\int \frac{6}{x ^{2} x ^{2} - 9} d x

\frac{d}{d x} (5^{x - 2})

f (x) = 2 x^{3} + 9 x^{2} - 60 x + 4

\frac{d}{d x} (\frac{( 2 x ^{2} + 8 x + 6 )}{x})

cos (\frac{1 - e ^{3 x}}{1 + e ^{3 x}})

What is the derivative of tan^2(x-1) ?
The derivative of tan^2(x-1) is 2sec^2(x)tan(x)
What is the first derivative of tan^2(x-1) ?
The first derivative of tan^2(x-1) is 2sec^2(x)tan(x)