Find the derivative f'(x): f(x)=x4-x2+sin-1x/3 **4-x2 is under a radical sign!

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: Find the Derivative f(x) = cosh(In(4x))

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Q: 8. Find the derivative of f (x) = 2tanx – 3secx. Show all steps -

A: We have to find the derivative of the function fx=2tanx-3secx Then,…

Q: Find the derivative of f(x) = 3x° cos(x). 8 CoS f'(x)

A: Given query is to find the derivative of the function.

Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

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Q: y3D(i+sinx)(I-sinl)!

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Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of ƒ (x) = 5ª In (x).

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Q: Find fi( using the derivative rules tanx y2-3

A: Given, the function is                         We have to find the derivative of this function i.e.…

Q: (4) Find the derivative of f(x)= tanx+5

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Q: Find the derivative of f(x) = tan(sin(2x))

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Q: f(x)= xe* In(x³)

A: f(x)=xe-xln(x3)According to question we have to calculate the derivative of the function.

Q: Find the derivative of ¤(x) at x = /3/2 where rsin-'(x) $(x) = eº tan 0 do. x2

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Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: What is the derivative of f(x)=3cos(x)+2sin(x) at the point x=−π

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Q: 13. f(x) = e* In x

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Q: Calculate the derivative of: cos-(8x) sin-(8x) f(x) f'(x) = 8|

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Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

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Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

Q: Find the derivative ofƒ(x) = 1/x5in two different ways:using the Power Rule and using theQuotient…

A: given: f(x)=1x5 the differentiation of the function f(x)=1x5 by using the power rule is: the…

Q: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: What is the derivative of f(x) g(x) in terms of f and g? Compute the derivative of -sin(x) · 2x=1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: sinx 3. f(x)=(x)*

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Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Find the derivative of f(x)= (x^2)sinx

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Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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Q: Find a function with the given derivative whose graph passes through point P f'(x)= 2xx+1-cosx,…

A: To determine the antiderivative satisfying the given initial condition

Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Find the derivative of ry = -3+x*y° using implicit differentiation.

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Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: cos X sin x + cosX

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Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: Compute the derivative with respect to x using differentiation rules.  f(x) = (ex / 3 - x)8

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Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Find the equation of the tangent line to the function f(x) = x² – 2 at the point (1,-1). You must e…

A: Given, fx = x4 -2  We have to find the equation of the tangent line to function at the point 1, -1.

Q: Solve for the derivative of the function using chain rule. 14. f(x)= 3lnx 15. f(x)= cos(cosx))

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Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: Determine the second derivative of f(x) = x²e²x at x = -2 with a step-size of h=0.50 using Central…

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Q: f(x) = 3 sin 1 (x²)

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Q: f(x)= sinx/cos x+1

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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. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

Q: find the derivative of the fuction f(x)= 5sinx/3x+cosx

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Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

Q: 2 12. f (x) = (1tsinx) Cosx

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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