Find f. f"(x) = x³ + sinh(x), f(0) = 4, f(2) = 5.6

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

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Q: Find y" by implicit differentiation. x² + 5y2 = 5 %3D

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Q: 8 Find the derivative of: 2/x + x3 Type your answer without fractional or negative exponents. Use…

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Q: Let f(x)=x^4-6x^2+10 solve the following    1. Fine the equation of the tangent line when x=1  2.…

A: Please refer to the image below

Q: • y= cos(a' + x')

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Q: Given f"(x) = -7x³ – 7a? + 7x + 10, f'(1) = 7, and f(1) = 5. Find f'(x) and f(x). Part 1: Find the…

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Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

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Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 5,    f '(0) = 2 f(?) =

A: Given that        f"( θ) = sin(θ)+cos(θ)  The initial condition is f(0)=5 and f'(0)=2 We have to…

Q: What is the 4th derivative at x = 0 of the function f(z) = (2r + 1)* %3D

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Q: Find the derivative of f(æ) = (– 72³ + 4x°) (5e* – 1) -

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Q: Find f. Note that the coefficients and the constants must be exact values (no decimals).f^II (x) =…

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Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: For each problem, find the function f based on the information given. 13. f'(x)=√x(6+5x) 14.…

A: 13) Given:  f'(x) = x6+5x ⇒f'(x) = 6x12+5x32 Integrate both sides with respect to x we get

Q: |x-3. Find flexo :)? f(x) = \ / . \

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Q: Find f. f ''(?) = sin ? + cos ?,    f(0) = 1,    f '(0) = 3

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Q: Suppose that f(4) = 2 and f' (4) = h(x) = (2x² + 3in (f(x)))² h' (4) = (b) h(x) = 20f(x) e-2x + 3…

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Q: ex - 4 f(x) x2 - 1

A: see 2nd step

Q: Suppose that f(4) = 2 and f' (4) = -1. (a) h(x) = (2x². 2x² + 31n (f(x)) h'(4) = (b) h(x) = 20f(x)…

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Q: (4) (3) (4) e. y = 4x³ (2x + 7) 4 f. y = 1 5√√(3-15x)³ g. s = 8cos (4t2 +9) ...determine s' s'(2)

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Q: p(x) = (-2x)f(x), q(x)= f(g(x)), r(x)= 31 Use the table to find the derivative values. f(x) %3D

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