Find the derivative of the function by the limit process. 9. f(x) = %3D f'(x) =

Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

Q: 3) Find the second derivative of y with reference to x. xcosy = y

A:

Q: Find the derivative of function. g(z) = (e2z + ln z)3

A: Given that: The function is g(z) =e2z + ln z3 .

Q: 5) Find the derivative of cach function. a) f(x) = 7x° tan" x b) g(x) = scc "(VF)

A: In this question we have to find derivative of functions given. According to Bartleby's guidelines…

Q: B. By using the definition of the derivative, find the for: - dx f(x) = x -

A: Explanation of the answer is as follows

Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

A:

Q: 4) fG) = (2x+ 1)9 %3D

A:

Q: Consider the graph of y = (2) shown below in blue. Estimate the value of the derivative at z1. Then…

A: From the given graph we can see that the slope of tangent to f(x) at x = 1 is close to -1

Q: 100 The derivative of the function 1 is equal to ecos z

A:

Q: X+3

A:

Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: Find the nth-order derivative of the function y=x2cosx.

A:

Q: find the derivative. y = ecos−1 x

A: Given: y=ecos-1(x)

Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: х+1 3.) y = х-2

A:

Q: 10)Find the first derivative or f’(x) of the following functions using long method derivatives

A: We need to find derivative of given function.

Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 8. Evaluate the derivative of the function y with respect to x. y = 5*e*

A: This question is related to differentiation, We will solve it using given information.

Q: 4.) f (x) 3D х2 – 1

A:

Q: Find local extrema using the second derivative test for the following function: f(x) = x In x

A:

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

A:

Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

A:

Q: nd the derivative of the function y = arctan x + 1+x2

A:

Q: n (2) Find the derivative of the function f(x)= e at 2= 2 by using numerical affronsmation for the…

A:

Q: 2.) f (x) %3D х

A:

Q: se Richardson extrapolation method to determine the first derivative of f(x) at x = 0.23 for the…

A: Richardson extrapolation f'x=fx+h-fx-h2h Here values at x of function is given and h=.02

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: 8. Find the derivative of the following functions with respect to x by using either the product or…

A:

Q: 1) Find the derivative. Simplify where possible. y = x tanh-1x + In/1 – x²

A:

Q: a) Find dx of the function y = (x+1)²using the limit definition of the derivative. b) What is the…

A:

Q: 10. Find the particular antiderivative of the derivative f'(x) = 3x-1 – x-2 where f(1) = 5.

A:

Q: (a) Find the derivative of y = f(x) =2x+1 using this definition f (x+h)-f(x) f'(x)= lim h (b) If x…

A: Differentiate above function with respect to x

Q: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: 3.) f (x) 3 5х — 3

A:

Q: 2the second derivative test to find the loscal maxilnum and minimulin of thie functioni 3 f (x}こ 2メ2…

A: To find the local maxima and local minima of the below function. fx=2x3−3x2−12x

Q: Q5. Using forward, backward and central difference formula, determine the first order derivative at…

A:

Q: 2. Determine the 8th derivative of y with respect to x of the function 1 f(x) = 1+x2 and find the…

A: Taylor series

Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: Find the derivative of the function y = csch−1 (1 − x)

A:

Q: 2. Consider the function f(x) = e¯*. -2x (a) Show that the derivative is f'(x) = %3D

A: