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

The derivative of sin(3x+4y) is cos(3x+4y)(3+4(dy)/(dx))

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

The first derivative of sin(3x+4y) is cos(3x+4y)(3+4(dy)/(dx))

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

cos (3 x + 4 y) (3 + 4 \frac{d y}{d x})

Solution steps

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

Apply the chain rule:

cos (3 x + 4 y) \frac{d}{d x} (3 x + 4 y)

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

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

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

What is the derivative of sin(3x+4y) ?
The derivative of sin(3x+4y) is cos(3x+4y)(3+4(dy)/(dx))
What is the first derivative of sin(3x+4y) ?
The first derivative of sin(3x+4y) is cos(3x+4y)(3+4(dy)/(dx))