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

The derivative of cos(x+2y) is -sin(x+2y)(1+2(dy)/(dx))

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

The first derivative of cos(x+2y) is -sin(x+2y)(1+2(dy)/(dx))

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

- sin (x + 2 y) (1 + 2 \frac{d y}{d x})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 2 y) = 1 + 2 \frac{d y}{d x}

= - sin (x + 2 y) (1 + 2 \frac{d y}{d x})

\int_{0}^{2} π (x^{3} - 8)^{2} d x

\frac{d}{d x} (3 e^{3 x} \cdot cos (2 x))

\int \frac{sin ( 2 x )}{50 + cos ^{2} ( x )} d x

(x^{2} + y^{2} - 5) d x = (y + x y) d y, y (0) = 1

\int 21 t^{6} e^{- t^{7}} d t

What is the derivative of cos(x+2y) ?
The derivative of cos(x+2y) is -sin(x+2y)(1+2(dy)/(dx))
What is the first derivative of cos(x+2y) ?
The first derivative of cos(x+2y) is -sin(x+2y)(1+2(dy)/(dx))