Q4. If W (1, x, f(x)) = 9e³2 and f(0) = 1, (a) e³-3x (b) 2e-3-1 (c) e-3 +31 f'(0) = 0, then f(x) = (d) e³-z (e) 2e-2x

Q: If f (0) = 3, f'(0) = –1, g(0) = –2, and g'(0) = 5, find h' (0) (a) h(x) = 2f(x) – 3g(x) (b) h(x) =…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Let D: PS(R) → P3 (R), be where D(f) = f'. calculates Ker(D)…

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Q: If f(x) = (5x +7)°, then the value of (f-1 (x))' at (f(-1),-1) is

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

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Q: If h(x)=√ 7 + 6f(x), where f(1)= 7 and f (1)= 2, find h(1). h'(1) = x

A: Given function Where

Q: r(x) = [(3x-2)/(2x)], find r '(x) O O [(3)(2x)-(3x-2)(2)]/2 O [(3)(2x)-(3x-2)(2)] / x²…

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Q: Find f. f"(x) = 8x + 5, f(1) = 9, f'(1) = 3

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Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y…

Q: Given that f(z) = 9z- 3 and g(x) = 6 – a', calculate (a) f(g(0))– |3D (b) g(f(0))=

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Q: If (g(5x) = -15, then g'(x) = %3D %3D (b) 3 (a) 0 (c)- (d) –3

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Q: If g(x)= 5X3+3x2+3x+5, what is (g-1)'(z) when z=5?

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Q: 13. f(x) = (x³ - Зx)(2x? + Зх + 5)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose F(3) = 2, F(8)= -19, and F"(x) = f(x). —13, and G'(x) = g(x). Also suppose G(3) =0, G(8) = =…

A: use integration  for finding the values.

Q: Find a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

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Q: If f'(x) = 3x2 + 2x and f(2) = 3, then f(1) = (A) – 10 (B) -7 (C) 10 (D) 13

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Q: Given f(1) = 4, f'(1) = 7, if g(x) = 4x(f(x) - 2)² then g'(1) =

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Q: Given f(x)=-25sin (Sx) and f₁0) = -5 and f(0) = 4 Find F(1) 2

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Q: If f(x)=−9x/(7x−3) then f′(x)=  and f′(10)=

A: The given function is

Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: If f(x, y) = (5x- y²) (a) f(1,4) find the following.

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Q: 9. [f(x)dx -1

A: Find the integral from the given graph

Q: Suppose F(7) = 3, F(10) = -6, and F'(x) = f(x).

A:

Q: 7. If y = e*², then d²y dx2 boins9 (A) (2x)(x² – 1)e*²-2 stod beniu (B) ex2 (C) 2xe*2 (D) (2 +…

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Q: Find the value of the constants a and b given that F'(x)= 2ax + b, F(3)= 47, F(-2)= -3, and F(1)=3.

A: We have given F'x=2ax+b Then, integral on bothe sides we get ∫F'xdx=∫2ax+bdx Fx=ax2+bx+c where c is…

Q: If fx)=5x-1, g(x)=1/x, and h(x)=g(fx)), then what is h'(0)?

A: Given that h(x)=g(f(x)) Using chain rule we get: h'(x)=g'(f(x))f'(x) We plug x=0 So,…

Q: If F(x)= f(xf(xf(x))), where f(1) =3, f(3) =5, f '(1)=3, f(3) =4, and f(5) 5, find F (1). F'(1) -

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Q: If y=In (2-3x²) + 4e - 3x +9x, then f'(x) = 6x 2-3x² - 12 3.x e +9

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Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the second derivatives, f"(x) of O a) b) f(x) = 2x² + e²² F"(x) = 2e² (4x²+4) F"(x) = 4+e²²(x²…

A: dxndx=nxn-1dexdx=exd dx(a.b)=a.dbdx+b.dadxf(x)=2x2+ex2

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: 1. If h(x) = (f(x))² – (g(x))² , f' (x) = -g(x) and g' (x) = f(x), then h'(x) = (a) 0 (b) –4f(x).…

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Q: '(x) = 7ex − 8x; f(0) = 16

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: f f(x) = 5x4-2x³-x²+3x-1, then f(0) = [a] d² dr2f(0) = [b] d4 dx4 (x) = [c] -f(x) = [d]

A: f(x)=5x4-2x3-x2+3x-1d dx(xn)=nxn-1d dx(constant)=0