Derivatives Practice (No Chain)

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• slope of the secant line

What is the formula for the derivative of f(x) = xⁿ

• (n+1)xⁿ⁺¹
• (n-1)x^n-1
• n⋅xⁿ⁺¹
• n⋅x^n-1

Which one is the product rule?

• f(x)g(x)
• f'(x)g(x)-f(x)g'(x)
• f'(x)g(x)+f(x)g'(x)
• f'(x)g'(x)+f'(x)g'(x)

Which one is the quotient rule?

• [f'(x)g(x)-f(x)g'(x)]÷g(x)^2
• [f'(x)g(x)-f(x)g'(x)]
• [f'(x)g(x)-f(x)g'(x)]÷g(x)^4
  
• f(x)g(x)-f(x)g(x)]÷g(x)^2
  

What is the derivative of y=6x^-2+8x³

• -12x^-1+24x²+11

• -12x^-1+24x²

• -12x^-3+24x²+11

• -12x^-3+24x²

What is the derivative of y = 2π?

• 0

• 2

• -2

• None of the above

Find the slope of the line tangent to the graph of y=9x^5/2 -7x^3/2 at the x=4

• 159

• 6

• 8

• 96

If h(x)=f(x)+2g(x), find h'(3)

• -2

• 2

• 7

• 8

If y=(x³+1)², then dy/dx=

• (3x²)²

• 2(x³+1)

• 2(3x³+1)

• 3x²(x³+1)

• 6x²(x³+1)

• A

• B

• C

• D