This question is from isc class 12 book

This question is from isc class 12 book

Consider the function f(x) = 1+(1-2 x)e-x . The aim is to construct a sequence of numerical approximations of the derivative of f(x) at x=0 by evaluating the slopes of secant lines going...

If f(2)=-3, f'(2)=3/4 and g(x)=f'(x), what is the equation of the tangent line in g(x) at x=-3?

Just need the first derivative of this function, struggling with there to begin

(a)Find the slope of the tangent to the graph of f at a general point x0 using the definition of limits. (b) Use the result in part (a) to find the slope of the tangent line at x0 = 1:

Please help me differentiates this.

Find y′ if x^(3y) = y^(2x). 1. y′= 3y^2(ln x − 1) 3y ln x + 2x 2. y′ = y^2(ln x − 1) ...

Find the derivative of f(x) = sqrt(36-x^2) / 9x when x=2

A) y+2=4/3(x-3) B) y-2=4/3(x+3) C) y-2=-3/4(x+3) D) y-2=-4/3(x+3) E) y+2=-3/4(x-3)

1) Find dy/dx for e^(x+y)=y 2) y=csc(5x^4)

Pretty straight forward, but i am having trouble. You help would be much appreciated

If y= 1+cosx/sinx , show that dy/dx=1/cosx-1

Question: "for the following functions, determine the locations of relative extrema, either minimum or maximum, and find their values" for k(x)=(ln3x)/(2x^2) The...

The rate at which ice is melting in a pond is given by dV/dt= √(1+2t), where V is the volume of ice in cubic feet, and t is the time in minutes. What amount of ice has melted in the first...

dx , d2fdx2 , and d3fdx3 for the function f(x)=x2−5x+6 And f(x)=7x−2x8

A firm estimates that the total revenue, R, received from the sale of q goods is given by ln(1+1100q^2). Calculate the marginal revenue when q=20. I got R'=1100/1+1100q^2 And...

The value of a certain automobile purchased in 1997 can be approximated by the function V(t) equals 25 (0.88)^t , where t is the time, in years, from the date of purchase, and V (t) is the value,...

Find the equation of the tangent line to y=e^-4t at t=0

Find the derivative of the function f(x)=(x+1)^104

Let f(x)= -5ln(6x) I can't figure out how to find the fourth derivative. f'(x)= -5/x f'(4)= ___