What is the derivative of sin(3x-cos(3x)) ?

The derivative of sin(3x-cos(3x)) is 3cos(3x)+3sin(3x)

What is the first derivative of sin(3x-cos(3x)) ?

The first derivative of sin(3x-cos(3x)) is 3cos(3x)+3sin(3x)

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\frac{d}{d x} (sin (3 x) - cos (3 x))

3 cos (3 x) + 3 sin (3 x)

Solution steps

\frac{d}{d x} (sin (3 x) - cos (3 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (3 x)) - \frac{d}{d x} (cos (3 x))

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

= cos (3 x) \cdot 3 - (- sin (3 x) \cdot 3)

Simplify

= 3 cos (3 x) + 3 sin (3 x)

y = (\frac{1}{3})^{x} - 3

y = - x^{2} - 4 x - 10

f (x) = 2 x - 4 x

f (x) = \frac{2 ^{x}}{1 - x ^{2}}

f (x) = cos (2 arccot (x))

What is the derivative of sin(3x-cos(3x)) ?
The derivative of sin(3x-cos(3x)) is 3cos(3x)+3sin(3x)
What is the first derivative of sin(3x-cos(3x)) ?
The first derivative of sin(3x-cos(3x)) is 3cos(3x)+3sin(3x)