What is the derivative of cos(2x+3y) ?

The derivative of cos(2x+3y) is -sin(2x+3y)(2+3(dy)/(dx))

What is the first derivative of cos(2x+3y) ?

The first derivative of cos(2x+3y) is -sin(2x+3y)(2+3(dy)/(dx))

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\frac{d}{d x} (cos (2 x + 3 y))

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

Solution steps

\frac{d}{d x} (cos (2 x + 3 y))

Apply the chain rule:

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

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

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

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

y^{^{''}} - 16 y^{^{'}} + 63 y = 240 e^{x}

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

t an g e n t f (x) = \frac{3}{5 x + 2}, at x = - 1

\int (2 x + 1)^{\frac{5}{6}} d x

\frac{\partial}{\partial x} (32 x + 13 y + 90)

What is the derivative of cos(2x+3y) ?
The derivative of cos(2x+3y) is -sin(2x+3y)(2+3(dy)/(dx))
What is the first derivative of cos(2x+3y) ?
The first derivative of cos(2x+3y) is -sin(2x+3y)(2+3(dy)/(dx))