Find the temperature function T(t) if th

Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

A:

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: b) Find the derivatives of the following functions: (i) 3x+4 y = tan x+5 (ii) y = e* -cos3x + x log.…

A: Derivatives

Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

A:

Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: compute the derivative. c(t) = 1-li – e2'k - e2

A: Given  ct=1ti^-e2tk^

Q: 6. h(x) = 5cos(a)

A: Given function is hx=5cosx To find: Derivative of given function. Solution: Function is hx=5cosx…

Q: - If e*y cosxz = 10 and z is an implicit function of x and y then find z and z, by implicit…

A: Find the differential

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: 3. Find the derivative. sh (a)l= - पक) (a) f(x) = x2 cos x +x tan r (b) h(x) = e" (x² + 4x) %3D t2…

A:

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 4. Find the value(s) of x at which the graph of the function g(x)=x'e has a horizontal tangent line.

A:

Q: B)ls w = z²1² analytical function or not?

A:

Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

A:

Q: let f(x)=ln(lnx). Find y`(e).

A: To determine the value of y'(e).

Q: Consider a function y =f(t) with domain (0. 1, 4. 2). Use the graph of the derivative function,…

A:

Q: Find the derivative of the function by the limit process. g(t) = t^3 + 5t

A: Using definition of derivatives,

Q: Q6. Find the first derivatives by using chain rule of the following functions: i. f(x) = tan %3D ii.…

A: Given that:                       (i) f(x)=tan1x(ii)g(x)=lnx3+x-1

Q: Find G(1), G'(0), and G'(π/4), where G(x) =

A: Here we have;  G(x)=∫1xtant dt

Q: What is the decreasing and what is the constant

A:

Q: B. Find the autocorrelation function of the periodic function x(t) 1 2 3

A: Introduction -  Definition for periodic signals  If f is a continuous periodic function of period T…

Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

Q: For a function f, we define the ___________________________________, denoted f’, by…

A:

Q: x-2 For the function 10x) = ind f(X), the third denvative of t and i ), the fourth derivative ofT…

A: Please refer the attached image for complete solution.

Q: 23: Find The Domain of the Function. y = sin (log, x²]

A: Given: y=sin-1[log4x2]

Q: Find the derivative. f(t) = csch(t)(1 – In(csch(t))) f '(t) =

A: We have to use the product rule  (uv)'=u'v+uv' We find u' and v' first

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: determine dy/dx of the implicit function: 2x2y-sinxy2+e-xy=10

A: Given implicit function is  2x2y-sinxy2+e-xy=10 To find: dydx

Q: Let f (x) = e10x. %3D Find a formula for the n-th derivative of f, for n 2 1.

A:

Q: Find the linear use it to estimate ln(1.44). L(x) = In(1.44) approximation of f(x) = In x at x = 1…

A:

Q: Find the derivative: h(x)= 3 tan*(e²*)

A: Question based on derivatives application.

Q: The derivative of In x is and the derivative of a constant C is, sO X dx = In |x| +C for x> 0.

A: Given x>0, The differentation of natural log x is 1/x  And differentation of constant are zero.

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function by the limit process. g(t) = t³ +7t g'(t) =

A: We have to find derivative

Q: compute the derivative. g(t) = e4t−t2

A: The derivative of a function is given by the expression f'(x)=limh→0f(x+h)-f(x)h. For some standard…

Q: at e t

A:

Q: Given the function y=(2x+1)3(x−1). Find all derivatives of the nth order from n=1 to n=5.

A:

Q: find all possible functions with the givenderivative. y' = x

A:

Q: Let h(x) = e*. f(x) and assume that f(ln 4) = -5 and f'(ln 4) = 6. Find the equation of the line…

A: We have to find equation of the line tangent to y=hx when x=ln(4)

Q: g(t) = cosh-1 t3

A: The objective of the question is determine the derivative of the given function.

Q: Can you help me step by step with this problem?

A: To compute the derivative of the function.

Q: 1)™ Determine a formula for the derivative of (x° + that works for any integer m. m y'

A:

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To find a linearization at a suitable chosen integral near a= 0.11 at which the below function and…

Q: compute the derivative g(t) = e4t−t2

A:

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: Find the first derivative f(t)-4cos (t)-10tan(t) -1

A:

Q: 2. Find the derivative of h with respect to u if h = n²u

A:

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 SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOL'N): x²(x + 1),…

A: