Find the approximate error, relative approximate error, and absolute relative approximate error of the derivative of f(x) = x² + 3x + 1 at x = 0.6 when hpresent = 0.005 and hprevious = 0.05. Ea = -0.045; a = -0.01248; l&al= = 0.01248 Ea = -0.045; a = -0.01124; leal : 0.01124 Ea = -0.045; a = -0.0107; lal 0.0107 OE₂ = -0.045; &a = -0.01183; lal = 0.01183

Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: Calculate the value of the derivative of the function y=x2−12x2 at x=1.

A: To calculate the value of the derivative of the given function at x = 1.

Q: Find the derivative of f(x) = 1 at x = 3

A: The given function is: fx=1x Using the formula of derivative i.e., ddxxn=nxn-1

Q: Determine the relative extrema using the Second derivative test. Find the point of inflection www y…

A: Let the function be, y=x(x2-5)2 Find the critical points using dydx=0 dydx=x2(x2-5)×2x+(x2-5)2…

Q: Find the derivative of the function y = 9 sec- (x + 5). (Use symbolic notation and fractions where…

A:

Q: Use forward, backward, and centered difference approximations to estimate the first derivative of…

A: We are given the function f(x)=5x5+3x3+2x+1 and the step size as h=0.5. As we are given no…

Q: Find the first, second and third derivatives of f(x) = 1/x. From this, deduce a pattern and use this…

A:

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

A:

Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

A:

Q: Find the second derivative of h(x) = 6(?3 + 4)3

A: Solution : The objective is to find the second derivative of the given function

Q: Determine the derivative of the given function by using two different methods

A: Given,         y=x2-3x2+34

Q: Use forward and backward difference formula with h = 0.1 to approximate the derivative of f(x) =…

A:

Q: Y=0.83x +0.0094x2 +0.000042x3 Take out derivative of the given function.

A: