Find the value df (a) that Make ECX) is Contincity at X- Ž

Q: use definition to show that the function f(x)= |x|^3 is differentiable at 0, with derivative equal…

A: We have to use definition of differentiable:

Q: Pls help ASAP

A: Given that, the graph of the functions:

Q: The function f(z) is analytic if

A: analytic functions are functions which are locally given by the convergent power series. i.e any…

Q: E Discuss "The Continuity of y = Sin T

A: We check continuity of given function at x=1

Q: Sketch a function where ?′(?) > 0  and ?′′(?) > 0 always and passes through the point (0,1).

A:

Q: f(xh) fx) - , h 0, for the given function f Find the difference quotient h f(x) _

A: The given function is:

Q: Find the value(s) of "c" that satisfy the conclusion of the Mean Value Theorem for the derivative of…

A:

Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

A:

Q: Determine the continuity of f such that f(x)=x^2.

A:

Q: Differentiate the function.   f(x)  = x In x -x

A: Given, fx=x ln x-x

Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: F(x) = X

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Consider a continuous function f(x). How are the derivative and integral of f related to the graph…

A: Given that f(x) is a continuous function. Here we have to show, how the derivative and integral of f…