IAL Edexcel P3 Differentiation

IAL Edexcel P3 Differentiation

Sin & Cos

Exponentials and Logarithms

Chain Rule

Product Rule

Quotient Rule

Multiple Choice

Differentiate with respect to x...

• 16x + 4x^-2

• 16x - 4x^-2

• 16x + 4x

• 16x - 4x

Multiple Choice

Differentiate with respect to x...

• 6x² + 4x

• 9x + 4

• 9x² + 4x

• 6x² + 4

Multiple Choice

Differentiate with respect to x...

• 6x² + 6x

• 6x + 2

• 6x + 6

• 6x² + 6

Multiple Choice

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

Multiple Choice

What is the derivative of -sin(x)?

• -sin(x)

• -cos(x)

• cos(x)

• sin(x)

Multiple Choice

What is the derivative of sin(2x)?

• 2sin(2x)

• cos(2x)

• 2cos(2x)

• sin(2x)

Multiple Choice

What is the derivative of -cos(3x)?

• 3sin(3x)

• cos(3x)

• 1/3cos(3x)

• sin(3x)

Multiple Choice

Find the derivative:  $y=e^{3x}$  

•  $y'=3e^{3x}$  

•  $y'=3xe^{3x}$  

•  $y'=e^{3x}+3$  

•  $y'=\ln\left(3x\right)$  

Multiple Choice

Find the derivative:  $y=e^{3x}+3x$  

•  $y'=3e^{3x}+9$  

•  $y'=3e^{3x}+3$  

•  $y'=e^{3x}+3$  

•  $y'=\ln\left(3x\right)+3$  

Multiple Choice

Find the derivative (simplified):  $y=\ln\left(x^2\right)$  

•  $y'=\frac{1}{x^2}$  

•  $y'=\frac{2}{x}$  

•  $y'=e^2$  

•  $y'=\frac{2x}{x^2}$  

Multiple Choice

What is the gradient?

• $−9.71\times10^{-6}$

• $9.71\times10^{-6}$

• $−9.71\times10^6$

• $9.71\times10^6$

Multiple Choice

What can the bottom equation be simplified to?

• $\frac{8x+1}{2\left(2x+1\right)^3}$

• $\frac{8x+1}{\left(2x+1\right)^3}$

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

Multiple Choice

What is the derivative?

• 8x⁴ -60x²

• 16x⁴

• (8x⁴ -60x²)/(2x²-5)²

• 3x

Multiple Choice

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

Multiple Choice

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

Multiple Choice

Find the derivative of g(x)=(3x-2)/(x²+2)

• 3/(2x)
• (-3x²-4x +6)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

Multiple Choice

Given that y = (x+2)/(x-3), find y'.

• y' = -1/(x-3)²
• y' = -5/(x-3)²
• y' = (2x-5)/(x-3)²
• y' = (2x-1)/(x-3)²