1. Find the derivative of the function f(x): 1 using the limit definition x+6 f'(x) = lim Lx +h) – f(x) h For the rest of the questions, please use product, quotient, chain rules to find derivatives if asked. 5x -4x+8x 2. Find the derivative of f(x) = Do Not use the quotient rule. 3. Find the derivative of f(x) = Simplify the complex fraction. +1 5 cos 2x 4. Find the derivative of the function f (x) =- 1+sin 2x Simplify all the way, if necessary, using trig identities. 5. There is the secant line passing through (0, 0) and (8, 2) on the graph of f(x)= Vx. Find the x value between 0 and 8 at which the tangent line to the graph is parallel to this secant line. 6. Find the derivative of the function y =r' In(3t + 2)–8 (31 +2 7. Find dy - of the function y = dt dy - of the function y=5 tan"'(6x) + log,(36x² +1) . dx 8. Find

Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of 2x +3 follows. First,…

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Q: 2. Using the graph of f(x) provided, create a sign chart for f'(x).

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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: Use the limit definition to find the slope of the tangent line to the graph off at the given point.…

A: Given that ,  f(x) = 9x+9  at the point   (1,18) To find the slope of the tangent line to the graph…

Q: Use the limit definition to find the slope of the tangent line to the graph of f at the given point.…

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Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

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Q: b. g(x)=√x + ²3 marks) X

A: The solution is given by

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

A: Let assume,

Q: Use the limit DEFINITION OF A DERIVATIVE to find the derivative of the function. 16) f(x) = Vx + 5…

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=x+5.

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

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Q: Find the derivative of the following function using the definition of differentiatio f(x) = -Zx2 +…

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Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 7)…

A: Given that the function

Q: 3X 812x

A: To solve the following problem

Q: If we need to calculate the derivative of a function at a point, there are two ways we can think…

A: Given: gx=x-x2

Q: Use the limit definition to find the slope of the tangent line to the graph of f at the given point.…

A: The slope of the tangent to the graph 13−x2 by the limit definition.