If f(x) = [ sin(x) = ['(x) 6 3+ t² dt and g(y) = f(x) dx, find g (7). 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: Find the derivatives of following functions f (x) = In (x + Vx2 – 1) f(x) = xva

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Q: The derivative of f(x) = 5x – Vx + (sin)x – e² -

A: Given; f(x)=5x4-x1/3+[sin(π/2)]x-e2

Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: A+b+c=180 (For c)

A: Given, A+b+c = 180 To be solved for c

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 9x° + 5x2 + 8x %3D

A: differentiate wrt to x

Q: Consider the function f(x) = (x² – 6)(a² – 6æ) Compute the derivative. f'(x) =

A: In this we are going to use product rule of derivative to find out the solution so I'm providing…

Q: In f(x) dx = F(x). F(x) is called the

A: follow the procedure given below.

Q: g(x)=(x+-2x)x. Find g'(x).

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Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: If f(x) = 2x cos ¹(x + 1) - √12-3x², find f'(x).

A: Introduction: Here use the derivative rules to solve the question.(1) Chain rule: (2) Power rule:

Q: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

A: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

Q: DERIVATIVE

A: We have to find the third derivative of  given function

Q: Find the derivative of the function In (2x+10) f (x) = x* sin (7x + 14) +

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Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

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Q: If g(x) = , what is g'(x)? 2x-1 x²+3x '

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Q: Find g'(4) given that ƒ(4) = 7, ƒ'(4) = −1, and g(x) = √xƒ(x). Answer:

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Q: Step 2: Step 3: Sten 4:

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Q: Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

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Q: 2. Find the derivative of each function: cos (x) 1-x² (b) g(x) = 5√x - √ (c) f(x) = (3x² + x −…

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Q: Find f′​(x).   ​f(x)=5x−1         7x+9 f′​(x)=

A: The given function is fx=5x-17x+9 So, the value of f'(x)=df(x)dx Using the uv form of the…

Q: Find the derivative of y=x²cot-¹(3x).

A: y = x2cot-1(3x)  Differentiating w.r.t x, we get        dy/dx = d/dx [x2cot-1(3x)]…