Given that f(3) = 2, f'(3) = -2, 9(3) = -9, g(3) = 3, %3D %3D

Q: The quantity, q, of a certain skateboard sold depends on the selling price, p, in dollars, so we…

A: Given f(115)=15400 and f'(115)=-70 We use this information to solve the problem

Q: Given f"(x) = 6x - 5 and f'(-3) = -1 and f(-3) = -2. Find f'(x) = and find f(4) = %3D

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Q: Given f(x) = + 5, find the domain and range of f-'(x). %3D X – 3

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Q: If f(2)=9 and f'(2)=2, estimate f(1.9).

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Q: Find the equation of the line passing through the point (2, 1) and that is perpendicular to the line…

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Q: f(x) = 8x-1 %3D f '(x) = %3D

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Q: If f(x) = X-2 %3D -, then f'(1) = %3D ,2 x+4

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Q: If 11 +3f(x) + 8x²(f(x))' = 0 and f(1) = -1, find f' (1). f'(1) =

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Q: If f(x) = (3x + 2)3, %3D then f' (1) = %3D

A: Consider the given function, fx=3x+23 now, differentiate the function with respect to x using chain…

Q: Find f'(a). f(x) = 7x - 8x + 6| %3D

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Q: (6x? - 6x +: -5x3 +9x+ 6 +5) h(x) %3D h'(x) = || %3D

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Q: If f'(x) = 3x + 2x and f(2) = 3, then f(1) = %3D (А) —10 (B) -7 (C) 10 - (D) 13

A: We have given f'(x) and f(2) =3 .  We have to find the value of f(1)

Q: F = (2+-1) dt

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Q: Determine y' if y =  x9 − 5x4 + 15x x4 .

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Q: Find f'(a). f(x) = 3x2 - 4x + 4

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Q: f'(3)=22;y=22x-18

A: Given:f'3=22y=22x-18

Q: If f(x) = 5x³, then f'(2) = A. 30 B. 40 C. 60 D. 15x²

A: f(x)=5x3The formula of diffentiation is given by,f'(xn)=nx(n-1)

Q: Differentiate f (r)%3D xA Vr + VE

A: To differentiate the given function.

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.