Using the definition of the derivative, find f'(x). Then find f'(1), f'(2)., and f'(3) when the derivative exists. f(x) = -x+5x–5 f'(x) = - 2x+5 (Type an expression using x as the variable.) Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. f'(1)= (Type an integer or a simplified fraction.) B. The derivative does not exist. Help Me Solve This View an Example Get More Help - Media -

Q: Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

A: Chain rule of differentiation: f(g(x))'=f'(g(x))g'(x) Formulae used: ddxtanx=sec2xddxlnx =1xddxcot…

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Determine the derivative of f(x) = Cosh(5 x) csc(x)

A:

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

A:

Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: f(θ) = 4 sin(θ) - θDifferentiating, we get  f'(θ) = 4 cos(θ) - 1 f'(0) = 4 cos(0) - 1 = 4 - 1 = 3y -…

Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

A:

Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

A:

Q: Find all relative extrema of the function f(x) = x* – 4r +2 by using | the Second Derivative Test…

A:

Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: Find the derivative of the function. f(x) = ln   x + 2 x − 2

A: Given,            fx=lnx+2x-2

Q: Use the definition of the derivative f'(x) = ļim ollowing functions. Show your step by step…

A:

Q: Find the derivative. Simplify where possible.

A:

Q: Find the derivative of the function. f(x) = ln(6x) f '(x) =

A:

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = ; (Use symbolic notation and…

A:

Q: Compute the derivative of the function y = 6 sin-'(x) at the point x = (Use symbolic notation and…

A:

Q: Find the derivative of the function by using the definition. Then determine the values for which the…

A: Find the derivative of the given function

Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

A:

Q: Find derivative of f(x) = ln(5x + 2) The slope (as fraction) of the tangent line at x=2 is

A:

Q: y=x²

A: I have stated the used formula in the solution

Q: Find the derivative of f(x)=((e^x)+(x^2))(3sinx+4cosx

A:

Q: Find the derivative of y with respect to x Y=5 ln (3 ln x)

A: Given, y=5 ln (3 ln x) We have to find derivative of y with respect to x.

Q: By calculating the first few derivatives, find a formula for the nth derivative of the function (k…

A:

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

A:

Q: Find the derivative of the function. f(x) = ln(2 − x2)   Thank you for your help!

A: Given function f(x) = ln(2-x2). Here we need to find the derivative of f(x) with respect to x.We use…

Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: find the derivative of the function f(x) = x2 what is f'(3)? what is the equation of the line…

A: Given function is f(x)=x2

Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

A:

Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: Find the derivative of the function, using the differentiation rules developed in this chapter.…

A:

Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: 2. Evaluate derivative of the following function applying rules of differentiation: 7- 2x S(x) (Зх —…

A:

Q: Find the derivative of f(x) = ln(2x^3 + x).

A:

Q: f(x)=2x^{2x}  f'(x): ? Please find first derivative

A:

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: Find the derivative of the following function using the LONG METHOD (limits). Provide your…

A:

Q: Find an equation of the tangent line to the graph of y = f ( x ) at the point on the graph where x…

A: The slope of the tangent line of a graph y = f(x) at a point x0 is given by the derivative of…

Q: Find all x-values where g(x) = −(x^3 )+ 3(x^2 )+ 9x − 20 has a horizontal tangent line (that is,…

A:

Q: Find the derivative of f(x) = 3/x at x = 3 by using the definition of derivative. Note that you will…

A: Given,f(x) = 3x at x = 3

Q: Use the fact that the derivative of the function f(x) =- is f'(x) = to find the equation of the…

A: We need to find the equation of tangent to the graph of f(x).

Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 3 sin(x) +x² In(x) – 2x Find the derivative of f(x) = using derivative rules.

A:

Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx

Q: Find the derivative of the function. f(x) = (2x2 − x)ln x   f'(x)=

A: