What is the derivative of xtan(2sqrt(x)+7) ?

The derivative of xtan(2sqrt(x)+7) is sqrt(x)sec^2(2sqrt(x))+tan(2sqrt(x))

What is the first derivative of xtan(2sqrt(x)+7) ?

The first derivative of xtan(2sqrt(x)+7) is sqrt(x)sec^2(2sqrt(x))+tan(2sqrt(x))

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\frac{d}{d x} (x tan (2 x) + 7)

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

Solution steps

\frac{d}{d x} (x tan (2 x) + 7)

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (7) = 0

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

Simplify

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

2 x^{2} + 4 x - 5

n = 0 \sum \infty 3 \cdot (- \frac{1}{5})^{n}

t^{2} y^{^{''}} + 19 t y^{^{'}} + 85 y = 0

\int - \frac{1}{64} e^{- 4 x} d x

y^{^{'}} = e^{2 y} sin (3 x)

What is the derivative of xtan(2sqrt(x)+7) ?
The derivative of xtan(2sqrt(x)+7) is sqrt(x)sec^2(2sqrt(x))+tan(2sqrt(x))
What is the first derivative of xtan(2sqrt(x)+7) ?
The first derivative of xtan(2sqrt(x)+7) is sqrt(x)sec^2(2sqrt(x))+tan(2sqrt(x))