The derivative of a function is g'(x) = 19 – 6x² and the graph of g(x) passes through the point P(3, 7). Find g(x).

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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Q: i. y= ) In (x+3

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Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

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Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: Find the derivative using the long method y = vx + 2

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Q: Find the derivatives of the function. y=ln(8x3-2x)-2x

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Q: Find the derivative. y= In x+3 %3D

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Q: x + x dx x2

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Q: y = In- e 2x+1

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Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: Find the derivative of the function. 4 y = 3x3 - 13x - x6 dy dx

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Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

Q: Find the derivative of the function. y = ln√(x2 − 4)

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Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: y = x*(1 – In x4)

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Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5…

A: The second derivative of the function, y and tangent to the graph of y is given as,

Q: Find the derivative. [미 In dx x +3 x-3

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Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: 3/x +1 f(x) = X+2 at x = -1

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Q: Find the derivative of the function y = ln 4x / (x − 6)

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Q: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

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Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 (x2 + 1), x > 0

A: Given that, y=csc-1x2+1

Q: y = cof'/ x2-1 x²+

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Q: Find the derivative of the function. f(x) = ln(x2 + 3)

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Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Find the relative extremum of g(x) = x - 3x +1 by using first derivative test.

A: Let g(x)= x3-3x2+1 To find the relative extremum , here we use first derivative test In this method…

Q: Find the derivative of the function g(x) = ln √2x

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Q: Find the derivative of f(x) = 4e 3x + e -x^2 f(x)= ?

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Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: Find the derivative of y with respect to x    y=ln(x-7)

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Q: Find the derivative of y with respect to x. 6x + 7 -1 6. y3-Cos %3D

A: dydx=?

Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 x/2

A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

Q: -5

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Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

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Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: Find the derivative of the function. h(x) = x² arctan(8x)

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Q: Find the derivative of f(x)= ln x^2/x^2+1

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