10. The equation 12x-05-3(y+6) represents the equation of the tangent line to the graph of g(x) when x-1. What is g'(-1)?

Q: Find the derivative of P(x) = -8x¹/9 - 3x -7 Write your answer using negative exponents. P'(x) = =

A: Given,

Q: Find the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: a) If a derivative of the function is given as: f'(x) = 9x² + 16x - 7 i) Find the function f(x) in…

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Q: Given g(x) = 2x² + 6 what is g'(38) ? %3D

A:

Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

Q: a) Find an equation of the tangent line to the curve. y=f(x)3x2-4x at x = 2. b) Find the derivative…

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Q: f(x) = (4x + 1)2;    (0, 1) (a) Find an equation of the tangent line to the graph of the function at…

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Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: From a function f(x) = 5000 x2 - 7000x + 12000   Find the first and second derivatives

A: dxndx = nxn-1 dcfxdx = c df(x)dx ; where 'c' is constant.

Q: f(x) = √x2−2​ ; x = 2 what is its derivative?

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Q: f(x) = (8x + 10)*, then find the second derivative, f" (x) =

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Q: f(x) = x3 + x + 6;    (−2, −4) (a) Find an equation of the tangent line to the graph of the…

A: f(x) = x3 + x + 6Recall the famous rule of differentiation: d(xn) / dx = nxn-1

Q: Differentiate the function. g(x) coth-! (2x + 1) Give your answer in exact form. g'(x) =

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Q: The derivative of a function is g'(x) = 19 – 6x² and the graph of g(x) passes through the point P(3,…

A: To find  g(x)