Mixed Derivatives (chain rule day 2)

Which graph is the derivative of the top graph?

• A
• B
• C
• D

Find dy/dx if y = cos⁵x

• 5cos⁴x
• -5sin⁴x
• 5cos⁴xsinx
• -5cos⁴xsinx

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

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x^5 + 5)^2

• y = 500x + 400
• y = 100x + 400
• y = -500 x - 400
• y = 500x - 400

Find y'

• 4x⁸+60x⁶+12x³
• 12x⁷+36x²
• 32x⁷+36x²
• 20x⁶

Tags

CCSS.HSA.APR.A.1

Find y'

• 8x⁴ -60x²
• (60x² - 8x⁴)/(2x²-5)²
• (8x⁴ - 60x²)/(2x²-5)²
• 3x

Tags

CCSS.HSA.APR.D.6

• 25x⁵+8x²+4x
• x³-2
• 20x³+4
• 13x

Derivative means the same thing as

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