Find the derivative of the function. s2 + 1 s² + 4 f(s) =

Q: Find the second derivative of the function. f(t) = t2e−7t

A: Derivative of e^(ax) is ae^(ax) Derivative of t^n is nt^(n-1)

Q: Find the derivative of the function. 9(t) - t2 g'(t) »

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Q: Find the derivative of the function. h(t) (t5 - 1)(4t2 – 5t – 3) =

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Q: Find the derivative of the function. f(t) =   1/2 (8t2 + t)−3

A: d/dt(f(t)^n) = nf(t)^(n-1)(d/dt (f(t))

Q: Find the derivative of the function. h(s) = (s³ - 6)² h'(s) =

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: Find the derivative of the function. s(t) = 43 (81 - 3) s'(t) = D

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Q: Find the derivative of the function. s2 + 1 s2 + 8 S' f(s) = f'(s) =

A: Apply Chain rule :

Q: Find the derivative of the function. f(s) = (s2 − 1)5/2(s3 + 5)

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Q: Find the first and second derivative of this function: x=(t-2)5/2  y=t3-5

A: We have to find derivative

Q: Find the derivative of the function. f(t) = (6t + 7)2/3

A: Consider the given function below:

Q: Q3/ B) Find the derivative of the following functions. 1. ху3(х-у)+1 2. y=e*secx

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Q: Find the derivative of the function. 6 9(t) = t2. 9'(t) = |

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Q: Find the derivative of the function. h(t) = t2(3t + 7)3

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Q: Find the derivative of the function. 6 g(s): (s³ - 5)3

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Q: Find the derivative of the function.

A: Given function - g(s) = 6s3-23g(s) = 6s3-2-3Differentiating on both sides with respect to 's' -…

Q: Find the derivative of the function. h(t) = (t + 5)2/3(3t? - 5)3 h'(t) : =

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Q: Find the first and second derivatives of the functions

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Q: Find the derivative of the function. s(t) = 48 (4t° - 5) s'(t) =

A: Solution: apply chain rules. Below in full solution

Q: Q. 3. a) Find first and second derivatives of the following functions: 7x

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Q: Find the derivative of the function. g(t) = (9t + 6)2 (6t? - 6)-3 g'(t)

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Q: Find the derivative of the function. h(t) = (t3/t6+3)2

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Q: Find the second derivative of the function. g(t) = −8t3 − 5t + 12

A: To find the second derivative of the function gt=-8t3-5t+12

Q: Find the derivative of the function.

A: The derivative of a function can be calculated by differentiating the function with respect to the…

Q: Find the derivative of the function. 4 24 y=. VF X X

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Q: Q3/ B) Find the derivative of the following functions. 1. ay=(x-y*+1 2. y=e*

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Q: Find the derivative of the function. g(t) = 1/(4t+1)^3

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Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Find the derivative of the function Y= x^11e^x Y’=?

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Q: Find the derivative of the function. g(t) = (2t-2)2/(3t+6)4

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Q: Find the derivative of the function. f(t) =   √6t2 − t

A: There is a small confusion regarding the function. So in solution I have done derivatives for two…

Q: Find the derivative of the function. g(t) = (3t2 + 4t − 8)/t3/2

A: The function is gt=3t2+4t-8t3/2.   If a function is of the form, y=fxgx, then the derivative of the…

Q: Find the derivative of the function. h(s) = -2/75² + 9 h'(s) =

A: Given that hs=-27s2+9To find : derivative ,h'sSolution ;hs=-27s2+9h's=-2×127s2+9×14s

Q: Q1) Find the first derivative of the following equations: y = x'V

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Q: Find the derivative of the function. 2t? f(t) 2t2 + 3t – 1 f'(t) =

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the derivative of the function. s = t14

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Q: Find the derivative of the function. h(t) = - (²²) ² h'(t) =

A: We have to find derivative

Q: Find the derivative of the function. f(t) = 7/(root(3, 8t ^ 2 + t))

A: We  Apply the chain rule of differentiation. And formula ddt(f(g(t))= f'(g(t)).g'(t) (this is…

Q: Q2/ Find the derivative of the function (x) =Vx? - 3 by definition

A: Use the definition of the first principal:   ddxfx=limh→0fx+h-fxh So, ddxx2-3=limh→0x+h2-3-x2-3h

Q: Find the derivative of the function. t2 (a) F(æ) = |7 1+t3

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Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4…

A: Find the derivative of h(y).  Differentiate h with respect to y.

Q: Find the derivative of the function. g(t) = t2 − 4/t3

A: Given:gt=t2-4t3

Q: Find the derivative of the function. h(t) = t?(7t + 2)3

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Q: Find the derivative of the function. h(s) = (s5 + 2s + 6)/s1/3

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Q: Find the derivative of the function. f(t) = V5 - 7t f '(t) = -7

A: Given derivative: ft=5-7t Apply the chain rule ddtfgt=ddufuddtgt Here, The function 5−7t is the…

Q: Find the derivative of the function. (1² - 5t) S =

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Q: Find the derivative of the function.        g(s) = 6/(s3 − 2)3

A: The given function is gs=6s3-23.

Q: find the derivative of the function  g(s)=8/(s^3-7)^4

A: Known facts: ddx1x=-1x2 ddxxn=nxn-1 ddxfgx=f'gx g'x   The given function is gs=8s3-74.

Q: Find the derivative of the function. h(t) = (t5 – 1)(3t2 - 4t – 2) h'(t)

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