If f(x) = = f'(1) = 211 S 17 g(t)dt, g(1) = 128 19 and g'(1) = 22 5 then

Q: If f(x) + x2[f(x)]ª = 18 and f(1) = 2, find f '(1). %3D f '(1) =

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Q: f(x) = 3x² - 2cos(x) find the equation for f'(x).

A: Consider the fucntion

Q: V4 + 3f(x), where f(1) = 7 and f'(1) = 4, 62. If h(x) find h'(1).

A:

Q: · Sº t³ dt then f'(x)= If f(x) = and f'(-2) =

A:

Q: If f(t) = VE and a * 0, find f'(a). f'(a) =

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Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: If h(x) = V5 + 4f(x), where f(1) = 5 and f'(1) = 2, find h'(1). h'(1) =

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Q: If h(x) = 4+ 3f(x), where (2) = 4 and f (2) = 2, find h'(2). %3D h'(2) =

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Q: 19 If f(x) = t dt then %3D f'(x) =

A: Given that  f(x) = ∫x19t4 dt  Here we have to find f'(x) .

Q: (c) Let h(x) = . Find h'(1). f (x) (d) Let h(x) =2f(x)+g² (x). Find h'(4).

A: c.

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

A:

Q: 3. Given f(4) = 1, f'(4) = 3, g(4) = -2, g'(4) = -5. %3D %3D If h(x) (2x3+1)f (x) Vxg(x) calculate…

A: Given that, hx=2x3+1fxxgx Differentiating with respect to x we get,…

Q: Find h' (t) if h(t) = h'(t)= [] 5 1/3 2 3/7

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Q: If f(t) = 4t4 – 2t + 4e*, find f'(t).

A: Given function is ft=4t4-2t+4et

Q: Suppose f(2) = 4, f' (2) = 5, f(8) = 8, f' (8) = 2, g(2) = 4, g' (2) = -6, | dH and H(x) = f(x² +…

A: Topic :- Derivative

Q: 14 If f(x) : t? dt then f'(x) =

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Q: Find h'(t) if h(t) = %3D t1/2 1617 h'(t)=

A: Given:

Q: If f(x) = t° dt then f'(x) = f'(– 6) =

A: SOLUTION-

Q: Suppose h(x)= x² – 2xf(x). Find h' (5) given that f(5) = 4, f' (5) = -8. h'(5) =

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Q: Find f. 4 f'(x) = 1- Ex) = %3D

A: This is a problem related to integral. Based on the given differential equation we will calculate…

Q: '(x) = 7ex − 8x; f(0) = 16

A:

Q: If f(2)=1, f'(2)=5, g(2)=2, and g’(2)=-3, then d *) |x=2

A: Given,          f2=1, f'2=5 , g2=2 and g'2=-3

Q: Find g'(4) given that f(4) = -3, f'(4) = -8, and g(x) = √af(x)

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

A: given  f(x)=3x+1x+1dxndx=nxn-1d dx(ab)=b(dadx)-a(dbdx)b2

Q: Suppose H(x) = f(g(x)) and %3D f(14) = 3 f' (2) = 13 g(14) = 2 d (14) = 4 Find H' (14)

A: Chain rule of differentiation:

Q: g(x) = "In(5 + t?) dt Ji

A: