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Beliebt Rechnen >

derivative of 2^xsec(x)

Lösung

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

Lösung

2^{x} ln (2) sec (x) + sec (x) tan (x) \cdot 2^{x}

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 2^{x}, g = sec (x)

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

\frac{d}{d x} (2^{x}) = 2^{x} ln (2)

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

= 2^{x} ln (2) sec (x) + sec (x) tan (x) \cdot 2^{x}

Graph

Beliebte Beispiele

(dy)/(dx)+y^9x+2y=0

\frac{d y}{d x} + y^{9} x + 2 y = 0

integral of (x^3-3x^2-x+3)

\int (x^{3} - 3 x^{2} - x + 3) d x

y^{''}-5y^'+6y=2et

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 e t

integral from 0 to 1 of x^4e^{3x^5}

\int_{0}^{1} x^{4} e^{3 x^{5}} d x

derivative of 4/(5+cos(x))

\frac{d}{d x} (\frac{4}{5 + cos ( x )})