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Popular >

derivative of sin(3x+cos(3x))

Solution

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

Solution

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

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

Popular Examples

integral of 7arccos(x)

\int 7 arccos (x) d x

integral of 1/(sqrt(x^2+b^2))

\int \frac{1}{x ^{2} + b ^{2}} d x

integral of sqrt(e^{2x)+x}*(e^{2x}+1/2)

\int e^{2 x} + x \cdot (e^{2 x} + \frac{1}{2}) d x

derivative of f(x)=x^x(ln(x)+1)derivative of

f (x) = x^{x} (ln (x) + 1)

derivative of f(x)=xe^{4x}derivative of

f (x) = x e^{4 x}

Frequently Asked Questions (FAQ)

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