What is the derivative of (x-2)^2-sin(3x) ?

The derivative of (x-2)^2-sin(3x) is 2(x-2)-cos(3x)*3

What is the first derivative of (x-2)^2-sin(3x) ?

The first derivative of (x-2)^2-sin(3x) is 2(x-2)-cos(3x)*3

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derivative of

(x - 2)^{2} - sin (3 x)

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} ((x - 2)^{2}) = 2 (x - 2)

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

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

\int \frac{3 - 2 x}{5 x + 7} d x

\int_{1}^{2} 9 r^{4} ln (r) d r

y^{^{'}} + 2 t y = t

\frac{d y}{d x} = \frac{2 x}{3 y}

\frac{cos ( x )}{x ^{8}}

What is the derivative of (x-2)^2-sin(3x) ?
The derivative of (x-2)^2-sin(3x) is 2(x-2)-cos(3x)*3
What is the first derivative of (x-2)^2-sin(3x) ?
The first derivative of (x-2)^2-sin(3x) is 2(x-2)-cos(3x)*3