What is the derivative of 7tan(x-7x) ?

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

What is the first derivative of 7tan(x-7x) ?

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

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\frac{d}{d x} (7 tan (x) - 7 x)

7 tan^{2} (x)

Solution steps

\frac{d}{d x} (7 tan (x) - 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 tan (x)) - \frac{d}{d x} (7 x)

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

\frac{d}{d x} (7 x) = 7

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

Simplify

7 sec^{2} (x) - 7 : 7 tan^{2} (x)

= 7 tan^{2} (x)

\int \frac{15}{4 - 5 x} d x

x \to 0 lim (\frac{( 4 tan ( x ) )}{x})

x \to + 2 lim ((2 x - 1)^{2} - x^{2})

\frac{d}{d x} (ln (e^{9 x}))

x e^{x^{2}} d x + (y^{5} - 1) d y = 0, y (0) = 0

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