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Popular >

derivative of f(x)=sin(3x)-cos(2x)

Solution

derivative of

f (x) = sin (3 x) - cos (2 x)

Solution

3 cos (3 x) + 2 sin (2 x)

Solution steps

\frac{d}{d x} (sin (3 x) - cos (2 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (3 x)) - \frac{d}{d x} (cos (2 x))

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

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

= cos (3 x) \cdot 3 - (- sin (2 x) \cdot 2)

Simplify

= 3 cos (3 x) + 2 sin (2 x)

Popular Examples

(\partial)/(\partial x)(x^3+4)

\frac{\partial}{\partial x} (x^{3} + 4)

integral from 0 to 1 of e^{-st}t

\int_{0}^{1} e^{- s t} t d t

y^{^{'}} = - 2 x tan (y)

slope of (5,-2),(7,10)slope

(5, - 2), (7, 10)

area y=3x,x=8-y^2 area

y = 3 x, x = 8 - y^{2}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sin(3x)-cos(2x) ?
The derivative of f(x)=sin(3x)-cos(2x) is 3cos(3x)+2sin(2x)
What is the first derivative of f(x)=sin(3x)-cos(2x) ?
The first derivative of f(x)=sin(3x)-cos(2x) is 3cos(3x)+2sin(2x)