4 – x² f(x) 7+ x2

Q: By using the definition of derivative find the derivative of f(x)=x^2

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Q: Use Leibniz’s Rule to find the derivatives of the functions

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given :            y = 4(x + 2)2 , (0, 1) To find the slope of the function at the given point.

Q: 3x y=3- + Arccos V8-x3

A: We have to find out the first derivative  .

Q: find the derivative of   ( -10 sin(x) ) / ( 5x ** 2 - 10 sin(x) )

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Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

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Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: yこ(3x)2 - 5c0s x : 1(3x) |(3x)" -Scosx

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Q: Sketch the x^2 And the derivative And integration

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Q: How do you find the derivative using the chain rule?

A: The given equation is hz=ba+z29.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: According to power rule of differentiation ddxxn=nxn-1 and according to chain rule of…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: second derivative of f (x) =e**?

A: Given that: f(x)=ex2

Q: How do you find the derivative of a constant multiplied by afunction?

A: If f(x) is any function and let y=cf(x)            function f(x) multiplyed with a constant, c is…

Q: Find the derivative if f(x)= ((x/2) + (x √x))ex

A: The given function is fx=x2+xxex. Obtain the derivative as follows.

Q: Calculate the derivative of f(x) = x^(1/ln(x)). What can be said about f(x) based on its derivative…

A: Consider the function,

Q: How do you find the derivative of (tan(x)-4)/sec(x)?

A: Use the quotient rule to find the derivative of (tan(x) – 4)/sec(x) as follows.

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!

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Q: Find relative extrema not using the first derivative test   s(x)=x^4-2x^2

A: We will use the second derivative test. But the route to second derivative passes through the first…

Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: hCt)-5t (1-ビ ((チ1) (け)

A: Given query is to find the derivative of the expression using product rule.

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: Find the derivative of the algebraic functions f(x) = x (1-) x+3, : g(x) = x + cotx

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Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: What is the derivative of 2x cos x ? 2 cos x - 2x sin x 2 cos x+ 2x sin x -2 sin x 2 sin x 2x-sin x

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Q: Find the derivative of f(x) = ln(2x^3 + x).

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Q: f(x)=2x^{2x}  f'(x): ? Please find first derivative

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Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: Find the derivative of these functions with respect to x.   xsin-1(In(x))

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Q: Find the first derivative of y = (In x)"

A: The differentiation of nested form of function is calculated using the chain rule of…

Q: Find derivative of function F(x)=2x/1-x²

A: If hx and gx are to differentiable function and fx=hxgx Then derivative of quotient is as…

Q: ind the derivative of (a) f(x) = x^4 + 2x^-2 + 6e^x

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Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: derivative

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Q: How do you find the derivative of function y=x^2-2radicalx/x

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Q: Use the fact that the derivative of the function f(x) =- is f'(x) = to find the equation of the…

A: We need to find the equation of tangent to the graph of f(x).

Q: Find the value of the derivative of the function f (x) = 16 - |x| at the extremum point ( 0, 16)

A: We have to find the value of derivative of the function f(x) = 16 - |x| at the extremum point…

Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.

Q: First Derivative of: (tan3(2x)) / x1/5 + ln(7x+4)

A: (U/V)' = (VU' - UV')/V^2

Q: 3 sin(x) +x² In(x) – 2x Find the derivative of f(x) = using derivative rules.

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Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx

Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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Q: Find the derivative of the function. f(x) = (2x2 − x)ln x   f'(x)=

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