Differentiation - including trigonometric functions

Find the derivative of

• $\sin x$

• $-\sin x$

• $-\operatorname{cosec}x\cot x$

• $\sec2x$

Find the derivative of

• $\operatorname{cosec}x\cot x$

• $\sec x\tan x$

• $\sec^2x$

• $-\operatorname{cosec}x\cot x$

The derivative of  $x\cos2x$  

•  $2x\sin2x+\cos2x$   

•   $-2x\sin2x+\cos2x$  

•  $\cos2x+4\sin2x$  

•  $2x\cos2x$  

 Find  $\frac{\text{d}y}{\text{d}x}$   of y = ln (6x+1)

•  $\frac{1}{6x+1}$  

•  $\frac{6}{6x+1}$  

•  $\frac{1}{6x}$  

• 6

 Find dy/dx for  $y=e^{6x}$  

•  $e^{6x}$  

•  $6e^{6x}$  

•  $e^{6x-1}$  

•  $6xe^{6x-1}$  

Find $\frac{dy}{dx}$  for  $y=\frac{3x+2^{ }}{2x+1}$  by using quotient rule.

•  $-\frac{1}{\left(2x+1\right)^2}$  

•  $\frac{1}{\left(2x+1\right)^2}$  

•  $\left(2x+1\right)^{-2}$  

•  $2x+1$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Find  $\frac{dy}{dx}$  for  $y=\ln\left(\frac{2x+1}{1-2x}\right)$  .

•  $\frac{2}{2x+1}-\frac{2}{1-2x}$  

•  $\frac{2}{2x+1}+\frac{2}{1-2x}$  

•  $\frac{2}{2x-1}+\frac{2}{1-2x}$  

•  $\frac{2}{2x+1}+\frac{2}{1+2x}$  

Tags

CCSS.HSF.BF.B.5

Differentiate $\sqrt{1-3x^2}$  

•  $\frac{1}{2}\sqrt{1-3x^2}$  

•  $\frac{1}{2\sqrt{1-3x^2}}$  

•  $-\frac{3x}{\sqrt{1-3x^2}}$  

•  $\frac{3}{2\sqrt{1-3x^2}}$  

Find  $\frac{dy}{dx}$  for  $y=\tan^4\left(2x+1\right)$  .

•  $8\tan^4\left(2x+1\right)\sec^2\left(2x+1\right)$  

•  $2\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$  

•  $4\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$  

•  $8\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$  

Find dy/dx for y= cos 4x

• dy/dx = -4 sin 4x

• dy/dx=sin 4x

• dy/dx = - 4 cos 4x

• dy/dx = 4 sin 4x