WorksheetsDifferential Functions - Chain Rule
Total questions: 8
Worksheet time: 4mins
Find the derivative of y = sin(3x) using the chain rule.
3cos(3x)
3sin(3x)
cos(3x)
3cos(x)
Calculate the derivative of y = e^(2x^2) using the chain rule.
dy/dx = 4x^2 * e^(2x^2)
dy/dx = 4x * e^(2x^2) * 4x = 8x^2 * e^(2x^2)
dy/dx = 2x * e^(2x^2)
dy/dx = 16x^3 * e^(2x^2)
Determine the derivative of y = ln(4x) using the chain rule.
4/x
1/4x
1/x
x
4
Find the derivative of y = sqrt(5x + 3) using the chain rule.
sqrt(5x + 3) / 5
5 / (2 * sqrt(5x + 3))
5 / (2 * (5x + 3))
2 / (5 * sqrt(5x + 3))
Calculate the derivative of y = cos(2x^3) using the chain rule.
-6x^2sin(2x^3)
-6x^2cos(x^6)
-6x^2cos(2x^3)
-6x^2sin(x^6)
Determine the derivative of y = tan(4x) using the chain rule.
y' = 4sec(4x)
y' = 4tan(4x)
y' = 4cos(4x)
y' = 4sec^2(4x)
Find the derivative of y = e^(sin(x)) using the chain rule.
e^(cos(x)) * cos(x)
e^(sin(x)) * sin(x)
e^(cos(x)) * sin(x)
e^(sin(x)) * cos(x)
Calculate the derivative of y = ln(cos(x)) using the chain rule.
-tan(x)
sec(x)
cot(x)
-sin(x)
