f(x) = x + 6 x² +6 2

Q: Find a rule for the derivative of the product of four functions f,g,h, and k. Use your result from…

A:

Q: 5 8 72 ex

A: Given f( x ) = ( x )72ex5

Q: 6. y = 2 log, (e")

A: Solution ) y = 2 loga(ex) Suppose ex = m Chain rule of differentiation  dy/dx = (dy / dm)×(dm/dx) […

Q: Find the derivative of f(x) = 10/x

A: We can find the derivative as below

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: Compute for the derivative of the function using logarithmic differentiation. r(θ) = (cscθ)ℼ^θ

A:

Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: how to get derivative of 2(x+(16/x))

A: The objective of the question is to find the derivative of the function 2(x+(16/x)). The derivative…

Q: 25

A: Given function is x2+y22=254xy2 We have, some rule of differentiation, ddxxn=nxn-1 ddxuv=vddxu+uddxv…

Q: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: Find the derivative y=5+12y-x^3

A: To find the derivative of  y=5+12y-x³

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: Enumerate and explain the steps in finding the derivative of this function: y=1/[2*sqrt(x+3)]

A: