f6sin(x) cos(x)'dx.

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Q: 1. Let y=f(x)=x² 4x + 1 (a) Use the definition of the derivative to find the derivative f'(x). No…

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Q: 1. Find the derivative of the following exponential and logarithmic functions. 1. y = ecos2x 2. y =…

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Q: 28. (1+x¹) dy + x(1 + 4y²) dx = 0, y(1) = 0

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Q: If  f(x) = 4x2 − x3,  find  f ′(x),   f ″(x),   f ‴(x),  and  f (4)(x)

A: Topic- derivative of a function We are given, f(x) = 4x2 − x3 and we know thatddxxn=nxn-1

Q: 1. If f(x)=−1(7x^2−4)^3 then f′(x)= and f′(−2)=

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Q: Each of Exercises 25–36 gives a formula for a function y = f(x). In each case, find f-x) and…

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Q: What are the important types of functions frequently encounteredin calculus? Give an example of each…

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Q: 4x² 1. Let y=f(x) = 4x+1

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Q: Find the following using the table below. 2 3 4 1 2 2 4 1 1 3 X 1 f(x) 3 4 ƒ'(x) 1 3 34 g(x) 2 g'(x)…

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Q: . Graph y = sin x and y = [sin x] together. What are the domain and range of [ sin x]?

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Q: In Exercises, solve for y in terms of t or x, as appropriate.51. ln (y - b) = 5t                52.…

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Q: [csc x]=-csc x cot x by using the relationship of CSC X=

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Q: Find the derivative of: — 2 sin² (9x5). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).

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Q: Let f(x)=4x^2/(2−2x)^3 Find the equation of line tangent to the graph of f at x=2. Tnaggent line…

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Q: f(x)=ln(x^5) f′(x)= f′(e^3)=

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Q: Find an equation of the line that satisfies the given conditions. Slope 4/7 ;  y-intercept 4

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Q: 2. Identify an inner function u = g(z) and an outer function y = f(u) of y=e=¹+2 3. Express Q(z) =…

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Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: answer=4(tan(θ))

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Q: 4. (x + y)dy - (2x - y + 3) dx = 0

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Q: How long will it take money to triple if it is invested at 6% compounded monthly? 8.9% compounded…

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Q: Calculus Find the radius of convergence for the series (2n)! (n!)2x¹.

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Q: Question 1 Given the following co-functions, find A: sec 41°=csc (11A+16) Blank 1 Blank 1 Add your…

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Q: 1. (Section 15.8) The function f(x, y) = z²y has an absolute maximum and absolute minimum subject to…

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Q: S x2tan-1xdx

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Q: Answer parts a.- e. for the function shown below. 2 3 f(x)=6x² -X a. Use the leading coefficient…

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