2. f(x) = 3. g(x) = 5 In x – 2* 4. g(x) = 4x³ log, x

Q: Evaluate the derivative of the following functions at the given point  ƒ(r) =π r2; a = 3

A: We first find f'(r) using the exponent rule

Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: Find the derivative of h(x)=(3x+4)3/  (−3x−2) 4 You should leave your answer in factored form. Do…

A: The given function is h(x) = (3x+4)3/(−3x − 2)4. Rewrite the given function as h(x) = (3x+4)3/(3x +…

Q: - 3x Find the derivative of y with respect to x if y = e

A:

Q: Find the derivative of the following. g(x) (e2t + VE - t) dt g'(x)

A:

Q: 7) Find the derivative of each function a) y=x'e

A:

Q: Find the derivative Of g(t)=ln(e^-t+2t)

A:

Q: -3x Suppose . What is the correct result of the derivative of h with respect to x?

A:

Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Q2) find the derivative of the functions : 10 logą t (3x²-1 1) y 2) f(x) = 2x+5

A:

Q: Find the derivative of the function.

A: Given function - g(s) = 6s3-23g(s) = 6s3-2-3Differentiating on both sides with respect to 's' -…

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

A:

Q: Q1/ find the derivative of the following function 5x + 2x+3 f(x) =

A: d(u/v) = (v du - v du) / v²

Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

A:

Q: Q2: - Find the second derivative of the following function at x = 2 15 marks 1) y=+ V 2) y 3 (x +)…

A:

Q: 3e* Find the first derivative: f(x) = x (x+1)

A:

Q: 2. Find the derivative of the following functions: (a). f(x) = x + 4x-2 + 6e" [1 Mark]

A:

Q: Find the function with derivative f'(x) = e8 that passes through the point P= (0,7/8).

A: We are given a diierentrial equatrion[f'(x)=e8x ] and a pssing point (0, 7/8) of the same  we need…

Q: Find the SECOND derivative of the given function. (b) g(x) = x+2

A:

Q: Find the derivative of the function.

A: The derivative of a function can be calculated by differentiating the function with respect to the…

Q: Q1) Find the derivative of the following: x2 +3 y = 7 (x – 1)3 + (x + 1)3

A: I have simplified first then differentiate

Q: Find the anti-derivative of g (x)=−8ex+4 − 5/ x+7. (Do not include the constant C in your answer.)

A: We have to find the antiderivative of g(x) .g(x) is given by:

Q: Evaluate the derivative of the following function. ƒ1t2= ln 1sin-1 t22

A: Here given Function as ft=lnsin-1t2

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: 2x+5 e. y = 3x-2 f. y = (2x? + 2)(x² + 3)

A: Derivative of the function y=f(x) is the measure of rate of change of y with respect to x.…

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: 5e* Find the derivative of f (x) Зех+1

A:

Q: Find the derivative of the function g(x)=x2∫0√1+t2dt.

A:

Q: C) Find the derivative of y= (1+ x²)*

A:

Q: f(x) = loga x

A: ddxlogax

Q: Q3// By using logarithmic differentiation and with respect to independent variable x, find the…

A:

Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

A: Given function, y=e2x Using the chain rule of the derivative y'=dydududx Let 2x=u The derivative of…

Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

A:

Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

Q: Find the derivative of the function. 1 s(t) 2+ 6t - 5 s'(t) =

A:

Q: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

Q: Q2: - Find the second derivative of the following function at x = 2 1) y=+ V

A: ddx1x = -1x2 ddxxn = nxn-1 ddxx =12x

Q: Find the derivative of the following function. f(z) = (4z+ e -)*

A: As we know that ddxex=ex [ common derivative]ddxe-z2 =-2e-z2 .z

Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: Find the derivative of ?, implicitly of  BY SHOWING ALL STEPS When N=11 and M=3

A: Given that lnMxy-tanNx+My=e-M-MyN And N=11 and M=3

Q: 4. Find the derivative of the following function. y = x*

A:

Q: Find the derivative of the function. h(s) = −2√(5s2 + 3)

A: the given function is: hs=-25s2+3 we have to find the derivative of the given function.

Q: Evaluate the derivative of the function at the given point. 1 t = 3 8t + 1 y =

A:

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

A:

Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: Find the function with derivative f'(x) = e7¤ that passes through the point P = (0, 6/7).

A: Given that f'(x) = e7x and we find function that passes through point (0,6/7). We know that f'(x) is…

Q: Find the derivative of the function. f(x) = e-4x

A: The given function is:fx=e-4x

Q: Find the derivatives of following functions e2x f(x) 1- ex

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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

A: