Find the derivative of the function. y = 10(9 – x2)3

Q: Find the derivative of the function g(x) = 3arccos(x/2)

A:

Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function y=x2−5x.

A: We differentiate both sides with respect to x.

Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Find the derivative of the function. 9х - 1 y3= x2 + 7x y' = D

A: Given: y=9x-1x2+7x Quotient rule for derivative: ddxuv=v u'-u v'v2

Q: Find the derivative of the function. 7 x2 + 1 y = x2 - 1

A:

Q: Find the derivative of the function. y = 3ex - 6x

A: Given that  y=3e^x-6x To find the derivative of the function

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Given the function y=x2cos3x. Find the third-order derivative.

A: To Determine: Third derivative of given function:

Q: Find the derivative of the function. y = V 3 + 8e6x

A: To find the derivative of given function.

Q: QW) = ? + y3 3.

A:

Q: Find the derivative of the function. y = 1/√(3x + 5)

A: y=13x+5

Q: Find the derivative. y = x2 / x2+1

A: We need to find the derivative of given function. Here we use quotient rule of differenciation to…

Q: Find the derivative of the function y=√x2√x.

A:

Q: Find the second derivative of the function F(t) = 5tsin(r³).

A:

Q: Find the derivative of the function. y = (x + 1)2ex

A: The given function is y=x+12ex

Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: Find the derivative of the function y=1x+1√x+13√x.

A: Given:  y=x+x+13xDifferentiation formula:ddxxn=n.xn-1ddxx=1ddxc=0

Q: Find the derivative of the function. 7 q = = Vx' - 2x

A:

Q: .Find the derivative of the function: y =x² +8sin .

A: To find the derivative of y.

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the derivative of the function. y3x°-13x +35x+8 y': = D

A: y = x3 - 13x2+35x+8

Q: Find the anti-derivative of the function and evaluate. g(x)=2x g(0)=7

A:

Q: Find the derivative of the function. y = x2 √(16 − x2)

A: Given:y=x2 16-x2Product of differentiation  formula:ddxuv=uv'+vu'

Q: Find the derivative, then simplify the derivative 2e* h(x) = ex+e¯x

A:

Q: Find the derivative of the function. 76 y = Vx - X y' = O

A: We know ddxxn = n·xn-1 xab = xab x-a = 1xa

Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

Q: Find the second derivative of the function. t° + 9t +5

A:

Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

A:

Q: f (x)=vx+2, a=6 it

A: Given function is  fx=x+27

Q: Find the derivative of the following functions: y= 7e^x - x4?

A:

Q: Find the derivative of the function. 4х-7 y = X +5x y' = D

A:

Q: Find the derivative of the function y = −7x(8−2x)

A:

Q: y= 5e* 5e

A: some important differencials

Q: Find the derivative of the irrational function y=2√x−33√x.

A: Given: y=2x-33x

Q: Find the derivative of the function y=3√x+8x.

A: Given:y=3x+8x

Q: Find the derivative of the function. 8. 7t2 + t

A:

Q: A) find the 1000th derivative of the function: y = xe¬x.

A: Find derivative

Q: Find the derivative of the function y = 3e^(13t-15)

A: Calculation:

Q: Find the derivative of the function. -Vx? y = + 36 6 + Vx2 + 36 1 In 36 6x2

A:

Q: Find the derivative of the function. -2 y 14x-6x-9x dy dx

A:

Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

A:

Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: Find the derivative of the function y= 5,3x 2x+3 The derivative is

A: Topic -derivative

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

Q: Find the derivative of the function. y = x3 - (x2)/(28) +8x + 5

A: The given function is: y = x3-x228+8x + 5 The derivative of xn is given by: dxndx=nxn-1 And, the…

Q: Find the derivative of the function.   y=3e^8t+3

A: Given function;   Taking the first derivative;

Q: Find the derivative of the function q=14r-

A: