What is the derivative of sin(7x+cos(6x)) ?

The derivative of sin(7x+cos(6x)) is cos(7x)*7-sin(6x)*6

What is the first derivative of sin(7x+cos(6x)) ?

The first derivative of sin(7x+cos(6x)) is cos(7x)*7-sin(6x)*6

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\frac{d}{d x} (sin (7 x) + cos (6 x))

cos (7 x) \cdot 7 - sin (6 x) \cdot 6

Solution steps

\frac{d}{d x} (sin (7 x) + cos (6 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (7 x)) + \frac{d}{d x} (cos (6 x))

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

\frac{d}{d x} (cos (6 x)) = - sin (6 x) \cdot 6

= cos (7 x) \cdot 7 - sin (6 x) \cdot 6

What is the derivative of sin(7x+cos(6x)) ?
The derivative of sin(7x+cos(6x)) is cos(7x)*7-sin(6x)*6
What is the first derivative of sin(7x+cos(6x)) ?
The first derivative of sin(7x+cos(6x)) is cos(7x)*7-sin(6x)*6