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

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

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

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

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

cos (3 x) \cdot 3 + \frac{2}{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= cos (3 x) \cdot 3 + \frac{2}{x}

\int (\frac{1}{x ^{12}}) d x

\int_{0}^{1} sin (x^{2}) d x

\int 3 e^{7 x} d x

y^{^{'}} = x^{2} + 2 y

\int \frac{1 - tanh ^{3} ( 3 x )}{tanh ( 3 x )} d x

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