$$\cos x$$  

$$-\cos x$$  

$$\sin^{-1}x$$  

$$\frac{1}{\sin x}$$  

$$\sin x\cos x$$  

$$-\sin x$$  

$$\sin x$$  

$$\cos^{-1}x$$  

$$\frac{1}{\cos x}$$  

$$-\sin x\cos x$$  

$$\sec^2x$$  

$$-\sec^2x$$  

$$\tan^{-1}x$$  

$$\frac{1}{\tan x}$$  

$$\sec x$$  

$$\sec x\tan x$$  

$$-\sec x\tan x$$  

$$\sec^{-1}x$$  

$$\frac{1}{\sec x}$$  

$$\csc x\cot x$$  

$$2\cos x+3x^2$$  

$$-2\cos x+3x^2$$  

$$2\cos x+4x^4$$  

$$2\cos x+2x^2$$  

$$-2\cos x+2x^2$$  

$$3\sin x-8x$$  

$$-3\sin x-8x$$  

$$3\sin x-4x$$  

$$3\sin x-12x^3$$  

$$-3\sin x-4x$$  

$$\frac{1}{6x+1}$$  

$$\frac{6}{6x+1}$$  

$$\frac{1}{6x}$$  

6

$$e^{6x}$$  

$$6e^{6x}$$  

$$e^{6x-1}$$  

$$6xe^{6x-1}$$  

dy/dx = -4 sin 4x

dy/dx=sin 4x

dy/dx = - 4 cos 4x

dy/dx = 4 sin 4x

$$5\ \sin\ x$$  

$$-5\ \sin\ x$$  

$$5\ \cos\ x$$  

$$-5\ \cos\ x$$  

$$-6\ \cos\ \left(4-3x\right)$$  

$$6\ \cos\ \left(4-3x\right)$$  

$$2\ \cos\ \left(4-3x\right)$$  

$$-2\ \cos\ \left(4-3x\right)$$  

$$\sec x\tan x.e^{\sec x}$$

$$e^{\sec x}$$  

$$e^{\sec x.\tan x}$$  

$$\sec x.e^{\sec x-1}$$