Compute the right-hand derivative D-f(0)= lim f(h) - f(0) h→0t h 4x + 7 if x<0 {f(x) = 7x +8 if x ≥0 The right-hand derivative is =

Q: If x- 2 1 lim -2 f(x) – f(2) then, the slope of the tangent line at the point (2, f(2)) is m =7. %3D…

A: By limit defination of f'(x) at point x= a

Q: f(x+h)- f(x) 3. Find the derivative of the following functions using the Show all your steps. 1 a.…

A: Given that: f(x)=13x

Q: What is the Lhopitals rule used for?

A: the Lhopitals rule

Q: For n 4 we find the derivative of f(x) = x* as follows: f(x + h) - f(x) (x + h)* – x lim f'(x) = lim…

A:

Q: Find the derivative

A: Given function is  By using the properties of log  log(m)-log(n)=log(m/n) and log (m^n)=nlog(m), we…

Q: Find the x-coordinates of all of the points on the graph of f (x) where the derivative equals 0.…

A:

Q: Use the limit definition of the derivative to show that the derivative does not exist at x = a for…

A:

Q: Prob. 6 (a) i) Let f(x) = 2x² - 3. Find f'(-2) using only the limit definition of derivatives. (b)…

A:

Q: Calculate the first first derivative justifies whether this is differentiable or not. Calculate the…

A: ∴ f(x) = 2x2ex is differentiable

Q: / Discuss the relationship between the derivative and (Lim) with drawing if it is required?

A: