What is the derivative of tan(x-0.5x) ?

The derivative of tan(x-0.5x) is sec^2(x)-0.5

What is the first derivative of tan(x-0.5x) ?

The first derivative of tan(x-0.5x) is sec^2(x)-0.5

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\frac{d}{d x} (tan (x) - 0.5 x)

sec^{2} (x) - 0.5

Solution steps

\frac{d}{d x} (tan (x) - 0.5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (tan (x)) - \frac{d}{d x} (0.5 x)

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

\frac{d}{d x} (0.5 x) = 0.5

= sec^{2} (x) - 0.5

\frac{d y}{d x} = x y - 3 x - 2 y + 6

\int 5 x ln (x) d x

t an g e n t f (x) = - \frac{1}{x}, at x = 3

x \to - 4 lim (- x^{2} + 6 x - 8)

\frac{d}{d x} (\frac{x}{x - 8})

What is the derivative of tan(x-0.5x) ?
The derivative of tan(x-0.5x) is sec^2(x)-0.5
What is the first derivative of tan(x-0.5x) ?
The first derivative of tan(x-0.5x) is sec^2(x)-0.5