Basic Derivative Rules 20 Questions

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

• 9x²+2

• 3(x²+2)/(x²+2)²

• (-3x²+4x +6)/(x²+2)²

• (-3x²+10)/(x²+2)²

Find the derivative of y = x⁴⋅cos x

• y' = x⁴ cosx - 4x³sinx

• y' = 4x³ cosx - x⁴sinx

• y' = 4x³ cosx + x⁴sinx

• y' = -4x³cosx

Find the derivative f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx
• f'(x) = sec²xcosx + tanxsinx
• f'(x) = sec²xsinx
• f'(x) = sec²xcosx - tanxcosx

Tags

CCSS.HSF.IF.C.8

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9
• -2x² + x + 9
• 2x² - x + 9
• 2x² - x - 9

Tags

CCSS.HSA.APR.A.1

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

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

Tags

CCSS.HSA.APR.A.1

f(x)= -1/∛x

f'(x) =

• $-3x^{\frac{4}{3}}$

• $x^{-\frac{4}{3}}$

• $-9x^{\frac{2}{3}}$

• $-1x^{\frac{4}{3}}$

Tags

CCSS.HSF-BF.B.4A

What is the derivative of tan(x)?

• tan(x)
• sec(x)
• tan²(x)
• sec²(x)

What is the derivative of xⁿ?

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

What is the derivative of y=^f(x)/_g(x)?

• ^{[f'(x)g(x)-g'(x)f(x)]}/_[g²(x)]
• ^{[g(x)f'(x)+f(x)g'(x)]}/_[g²(x)]
• ^{[g(x)f'(x)-f(x)g'(x)]}/_[f²(x)]
• ^f'(x)/_g'(x)

What is the derivative of y=f(x)*g(x)?

• y=f'(x)*g'(x)
• y=f'(x)*f(x)+g'(x)*g(x)
• y=f(x)*g'(x)+f'(x)*g(x)
• y=f'(g(x))*g'(f(x))