IGCSE Additional Maths: Differentiation

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Find the derivative of:
f(x) = -5/x⁴

• -20/x⁵
• 20/x⁵
• -20/x³
• 20/x³

Find the derivative of:
f(x) = (x² +1)⁶

• 12(x² + 1)⁶
• 12x(x² + 1)⁶
• 12x(x² + 1)⁵
• 12(x² + 1)⁵

Find dy/dx if y = cos⁵x

• 5cos⁴x

• -5sin⁴x

• 5cos⁴xsinx

• -5cos⁴xsinx

Find the derivative.

• x⁴ cosx - 4x³sinx

• 4x³sinx + x⁴ cosx

• 4x³cosx

• -4x³cosx

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)

• f'(x) = 20x³ sin(5x⁴)

• f'(x) = -sin(20x³)

• f'(x) = -20x³ sin(5x⁴)

Find y' if y = tan(3x²+2).

• sec²(3x²+2)

• 6xsec²(3x²+2)

• 6xsec²x(3x²+2)

• sec²(6x)

Find g'(x) if g(x) = sin^1/2(4x)

• 2cos^-1/2(4x)

• 1/2cos^-1/2(4x)

• 2sin^-1/2(4x)cos(4x)

• 1/2sin^-1/2(4x)cos(4x)

Find dy/dx at a given point.

• 5/4

• 4/5

• 1

• -5

• 1/2

• 1/4

• 5/4

• -1/16

• 1/8

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3