6. Derivatives of Inverse, Exponential, & Logarithmic Functions

22–36. Derivatives Find the derivatives of the following functions.

f(x) = csch⁻¹(2/x)

22–36. Derivatives Find the derivatives of the following functions.

f(x) = x sinh⁻¹ x − √(x² + 1)

7–28. Derivatives Evaluate the following derivatives.

d/dx ((ln 2x)⁻⁵)

7–28. Derivatives Evaluate the following derivatives.

d/dx (ln³(3x² + 2))

7–28. Derivatives Evaluate the following derivatives.

d/dx ((2x)⁴ˣ)

7–28. Derivatives Evaluate the following derivatives.

d/dx (x^{π})

7–28. Derivatives Evaluate the following derivatives.

d/dt ((sin t)^{√t})

7–28. Derivatives Evaluate the following derivatives.

d/dy (y^{sin y})

7–28. Derivatives Evaluate the following derivatives.

d/dt (t^{1/t})

7–28. Derivatives Evaluate the following derivatives.

d/dx (e^{-10x²})