Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

Q: Find the derivative of f(x) = In(x² + 1) %3D

A:

Q: Use the product rule to find the derivative. y = (2x²+5)(4x - 5) y' =

A: Given : y=2x2+54x-5 To Find: Use the product rule to find the derivative.

Q: Find the derivative of the functions below: In(x) (a) g(x) = log,(x) g'(x) = (b). y- in(6x®)

A:

Q: 5е + 6 Find the derivative of g(x) 4x10 + 6x9

A: Formula used: Quotient rule of differentiation: ddxuv=u'×v-v'×uv2 Power rule of differentiation:…

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Evaluate the derivatives. Do not simplify. (a) ey - y² = ln x tanz (b) y = (secx)*

A:

Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

Q: g(x) = x'n(x) %3D

A: We have to find derivative of given function-

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…