What is the derivative of 3tan(2x+1+sqrt(x)) ?

The derivative of 3tan(2x+1+sqrt(x)) is 6sec^2(2x+1)+1/(2sqrt(x))

What is the first derivative of 3tan(2x+1+sqrt(x)) ?

The first derivative of 3tan(2x+1+sqrt(x)) is 6sec^2(2x+1)+1/(2sqrt(x))

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\frac{d}{d x} (3 tan (2 x + 1) + x)

6 sec^{2} (2 x + 1) + \frac{1}{2 x}

Solution steps

\frac{d}{d x} (3 tan (2 x + 1) + x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 tan (2 x + 1)) + \frac{d}{d x} (x)

\frac{d}{d x} (3 tan (2 x + 1)) = 6 sec^{2} (2 x + 1)

\frac{d}{d x} (x) = \frac{1}{2 x}

= 6 sec^{2} (2 x + 1) + \frac{1}{2 x}

x \to - \infty lim (e^{5 x})

\int \frac{x + 1}{x ^{2} + 9} d x

\frac{d}{d x} (cot (x) tan (x))

x \to 0 + lim (∣ x ∣)

d er i v a t i v e f (t) = - 3 t^{2} + 2 t - 4

What is the derivative of 3tan(2x+1+sqrt(x)) ?
The derivative of 3tan(2x+1+sqrt(x)) is 6sec^2(2x+1)+1/(2sqrt(x))
What is the first derivative of 3tan(2x+1+sqrt(x)) ?
The first derivative of 3tan(2x+1+sqrt(x)) is 6sec^2(2x+1)+1/(2sqrt(x))