Mixed Derivative Practice

Which graph is the derivative of the top graph?

• A
• B
• C
• D

f' is given, which could be f?

• A
• B
• C

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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 the second derivative of the function:
f (x) = sin (5x^6)

• f ''(x) = 30x^4 cos 5x^6 + 30x^10 sin 5x^6
• f ''(x) = 180x^4 cos 5x^6 - 900x^10 sin 5x^6
• f ''(x) = 150x^4 cos 5x^6 + 900x^10 sin 5x^6
• f ''(x) = 150x^4 cos 5x^6 - 900x^10 sin 5x^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

• A
• B
• C
• D

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