Derivatives of Inverse Trig Functions Quiz

Differentiate y = arcsin(2x)

• 2x/sqrt(1-4x^2)

• -2/sqrt(1-4x^2)

• 1/sqrt(1-4x^2)

• 2/sqrt(1-4x^2)

Differentiate y = arccos(3x)

• 2 / sqrt(1 - (3x)^2)

• -3 / sqrt(1 - (3x)^2)

• 3 / sqrt(1 - (3x)^2)

• -3 / sqrt(1 + (3x)^2)

Differentiate y = arcsin(5x^2)

• -10x/sqrt(1-25x^4)

• 5x/sqrt(1-25x^4)

• 10x/sqrt(1-25x^4)

• 10x/sqrt(1+25x^4)

Differentiate y = arccos(4x^3)

• 4x^3 / sqrt(1 - 16x^6)

• -4x^3 / sqrt(1 - 16x^6)

• -12x^2 / sqrt(1 + 16x^6)

• -12x^2 / sqrt(1 - 16x^6)

Find the derivative of y = arctan(2x)

• y' = 2 / (1 + (2x)^2)

• y' = 1 / (1 + (2x)^2)

• y' = 2 / (1 - (2x)^2)

• y' = 2 / (1 + (x)^2)

Find the derivative of y = arcsec(3x)

• du / |u| * sqrt(u^2 + 1)

• du / |u| * sqrt(u^2 - 1)

• du / |u| * sqrt(3u^2 - 1)

• 3u / |u| * sqrt(u^2 - 1)

Find the derivative of y = arctan(4x^2)

• 4x / (1 + 16x^4)

• 8x / (1 + 16x^4)

• 16x / (1 + 64x^4)

• 2x / (1 + 8x^4)

Apply the chain rule to find the derivative of y = arccos(3x^2)

• -6x / sqrt(1 - 9x^4)

• -6x / (1 - 9x^4)

• -3x / sqrt(1 - 9x^4)

• 2x / sqrt(1 - 9x^4)

Apply the chain rule to find the derivative of y = arcsin(2x^3)

• 3x^2 / sqrt(1 - (2x^6)^2)

• 4x^3 / sqrt(1 - (2x^6)^2)

• 6x^2 / sqrt(1 - (2x^6)^2)

• 2x^3 / sqrt(1 - (2x^6)^2)

Apply the chain rule to find the derivative of y = arcsec(4x)

• -4/(|4x|*sqrt(1-(4x)^2))

• -4/(|4x|*sqrt((4x)^2-1))

• 4/(|4x|*sqrt((4x)^2-1))

• -4/(4x*sqrt((4x)^2-1))