Ise the limit definition of the derivative to compute the derivative of the function f(z) = at an arbitrary point z. Evaluate the limit by using algebra to simplity the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). 4+9z =(2) = lim (A f(x + h) – f(z) -6 low let's calculate the tangent line to the function f(z) = at z=9 4+ 9z a. The slope of the tangent line to f at z= 9 is b. The tangent line to f at z = 9 passes through the point on the graph of f. • Enter the point in the form (x, y), including the parentheses. C. An equation for the tangent line to f at z=9 is y =

Q: 2x + 3 the definition of the derivative to find the derivative of the function f(x) = = Use x-5 line…

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Q: f(x) = x² - 2x + 1

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Q: A What is the geometric interpretotron d the derivative f'(a )? O Compute im 2-x 人フ1

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Q: 1) Use the limit definition to find the derivative of the function f(x) = 3x – 5x?. Then find all…

A: Derivative of the function in terms of limit is f'(x)=limh→0f(x+h)-f(x)h

Q: (2) Define: F(x)=√(r² + 1). e³r+² dr. (a) Use the fundamental theorem (II) to find the derivative…

A: The given integral equation is:F(x)=∫x0 r2+1 ·e3r+2 dr

Q: Find derivative of f(x Onone of these (6x²-x)/(2x³ -x) (2x³ -x)/(6x²-1) O (6x² -1)/(2x³ -x)

A: we shall use thatddxlnx=1x and ddxf(g(x))=f'(g(x))*g'(x)

Q: Using the limit definition of derivative, compute the derivative of the following function. No…

A: by limit definition of derivativesf'(x) =limn→0 f(x+h)-f(x)hf(x) = 3x2-2xf(x+h) = 3(x+h)2- 2(x+h)

Q: Direction: Let y-fpx). Note any pattern and use this to determine the derivative of the other…

A: To solve this problem the main things is observed  the  pattern.  The complete solution of the given…

Q: 2r +3 Let f(r) = (a) Find the derivative of f at r = 3 using the definition of the derivative as a…

A: f(x) = 2x+3/x  a) find the derivative  b) find the equation of tangent line at x= 3

Q: Using the limit definition, find the derivative of f(x) = tan(ax + b).

A: Consider f(x) = tan (ax + b)

Q: Use the chain rule to find the derivative of lor67, 8x

A: To find the derivative of 106x7+8x6 using the chain rule. Solution: Chain rule of derivative states…

Q: Given selected value of the function f and its derivative in the table below, determine the value 4x…

A: Let assume,

Q: Please find the derivative of the algebraic function below using the Quotient rule. No chain rule…

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