Quiz - Chain Rule

• cosx
• -cosx
• -sinx cosx
• sinx cosx

• sinx
• -sinx
• -cscx cotx
• sec²x

• cscx cotx
• secx tanx
• sec²x
• -cscx cotx

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 dy/dx if y = sec(8x²).

• sec(16x)tan(16x)
• 16xcos(8x²)
• 16xsecxtanx(8x²)
• 16xsec(8x²)tan(8x²)

Find dy/dx if y = (cscx + 1)⁷

• -7(cscx + 1)⁶(cscxcotx)
• 7(-cscxcotx)⁶
• 7(cscx + 1)⁶(cscxcotx)
• -7(cscxcotx)⁶

.

• (3x²-2)cos(x³-2x)

• -(3x²-2)cos(x³-2x)

• cos(2x²-2)

• sin(2x²-2)

Derivative means the same thing as

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

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1