What is the derivative of sin(2x+3ln(e)+4sqrt(x)) ?

The derivative of sin(2x+3ln(e)+4sqrt(x)) is 2/(sqrt(x))+2cos(2x)

What is the first derivative of sin(2x+3ln(e)+4sqrt(x)) ?

The first derivative of sin(2x+3ln(e)+4sqrt(x)) is 2/(sqrt(x))+2cos(2x)

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\frac{d}{d x} (sin (2 x) + 3 ln (e) + 4 x)

\frac{2}{x} + 2 cos (2 x)

Solution steps

\frac{d}{d x} (sin (2 x) + 3 ln (e) + 4 x)

Simplify

sin (2 x) + 3 ln (e) + 4 x : sin (2 x) + 3 + 4 x

= \frac{d}{d x} (sin (2 x) + 3 + 4 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (2 x)) + \frac{d}{d x} (3) + \frac{d}{d x} (4 x)

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

\frac{d}{d x} (3) = 0

\frac{d}{d x} (4 x) = \frac{2}{x}

= cos (2 x) \cdot 2 + 0 + \frac{2}{x}

Simplify

= \frac{2}{x} + 2 cos (2 x)

(4, 2), (3, - 1)

\frac{\partial}{\partial θ} (cos^{2} (θ))

\int (cos (θ))^{3} d θ

\int_{0}^{\frac{π}{3}} x sin (x + y) d y

\int sin (x) + 3 cos (x) d x

What is the derivative of sin(2x+3ln(e)+4sqrt(x)) ?
The derivative of sin(2x+3ln(e)+4sqrt(x)) is 2/(sqrt(x))+2cos(2x)
What is the first derivative of sin(2x+3ln(e)+4sqrt(x)) ?
The first derivative of sin(2x+3ln(e)+4sqrt(x)) is 2/(sqrt(x))+2cos(2x)