2cos(2x+5)
Step-by-step explanation:
[tex] \sin(2x + 5) [/tex]
Let y = sin(z) . Where z = 2x +5
[tex]y = \sin(z) \\ z = 2x + 5[/tex]
Find the the derivatives
[tex] \frac{dy}{dx} = \cos(z) [/tex]
[tex] \frac{dz}{dx} = 2[/tex]
Multiply
[tex] \frac{dy}{dx} = \cos(z) \times 2 \\ = 2 \cos(z) [/tex]
Remember that z = 2x+5
[tex]2 \cos(2x + 5) [/tex]
