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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derivative of

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

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