What is the derivative of sin(7x+cos(2x)) ?

The derivative of sin(7x+cos(2x)) is cos(7x)*7-sin(2x)*2

What is the first derivative of sin(7x+cos(2x)) ?

The first derivative of sin(7x+cos(2x)) is cos(7x)*7-sin(2x)*2

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\frac{d}{d x} (sin (7 x) + cos (2 x))

cos (7 x) \cdot 7 - sin (2 x) \cdot 2

Solution steps

\frac{d}{d x} (sin (7 x) + cos (2 x))

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (sin (7 x)) = cos (7 x) \cdot 7

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= cos (7 x) \cdot 7 - sin (2 x) \cdot 2

\frac{\partial}{\partial x} (\frac{e ^{v}}{u ( v , x ) + v ^{9}})

x \to - 1 lim (- x^{2} + 7 x - 8)

n = 1 \sum \infty 2 e^{- 8 n}

- \frac{6}{x ^{2}}

\frac{d}{d x} (x^{5} ln (8 x))

What is the derivative of sin(7x+cos(2x)) ?
The derivative of sin(7x+cos(2x)) is cos(7x)*7-sin(2x)*2
What is the first derivative of sin(7x+cos(2x)) ?
The first derivative of sin(7x+cos(2x)) is cos(7x)*7-sin(2x)*2