Find the derivative of the function. y'(x) = y = *sin(x) Jcos(x) In(3 + 5v) dv

Q: Find the derivative of the function. f(x) = In(x + 1) f'(x) =

A: To find the derivative of the function fx=lnx+1

Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: Calculate the derivative of the function. f(x) = (2x + 5) 0.5 f'(x) =

A:

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

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

Q: Find the derivative of the function. f(x) = (x2 + 3) In(x) f'(x)

A:

Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

A:

Q: Find the derivative of the function. t(x) =  8x + 2x2/x   t'(x) =

A: Given function is t(x)=8x+2x2x

Q: Find the derivative of the function. *sin(x) y = Jcos(x) In(6 + 3v) g'(x) =

A: use Lebniz's Rule:   d/dx ∫[a(x),b(x)] f(t) dt =f(b(x))b' - f(a(x))a' Here, a(x) = cos(x) b(x) =…