18. Compute H'(1) where H(x) = √²2 17/12 dt. 01 0–2 02 O-1 ONone of above

Q: Find the first derivative of the following functions with respect to x: a) y= Inx3 b) y = ln (÷) c)…

A: We can make it easier for you.

Q: Is f(x) If so, √2x+3 find differential at x = 1? f'(1)

A:

Q: = In (2x) + cos (6x)

A:

Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: Use Euler’s explicit method to solve the ODE dy/dx= -1.4 + 8e^ -0.3x from x= 0 to x= 2.4 with the…

A:

Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: Find h' (t) if h(t) = h'(t)= [] 5 1/3 2 3/7

A:

Q: (a) y 10u² and u = 5 - ² (b) y = √u and u=1-1

A:

Q: Use implicit differentiation to find y' for 4x³y² + ln(xy³) Answer exactly. y' (1, 1) = 4 and then…

A:

Q: Find the equation of the tangent to the graph xey +y-2x = In 2. %3D Evaluate the derivative of the…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: d mula sinh (t) = In (t + VE? + 1) and- (In(t)) = } %3D ne derivative of sinh(t).

A: Here we use rule of differenciation to find the required derivative.

Q: 5. A termite population begins with 150 termites and increases at a rate of m'(t) termites per week.…

A: Termite population starts with 150 termites and increases with the rate of m'(t) termites per week

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: 14. Find the second derivative of tanh xy + xy =0 by implicit differentiation. A. y" =2 B. y" =2 C.…

A: Answer is option C)  y''=2y/(x^2)

Q: 1. Find the derivative dy/dx for each of the following. Simplify answers. (a) y = (3x* + 2)¯° (b) y…

A:

Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

A:

Q: 21, e = x - y x/) find dy/dx by implicit differentiation

A: The objective is to find dydx of the function exy=x-y by implicit differentiation.

Q: Find h'(t) if h(t) = h' (t)= 6 1/6 6 5/7

A: We have to find firse derivative of function h(t).

Q: Differentiate h(y) = ln (3y) sin y

A: To differentiate the function  h(y)= ln(3y)sin-1y

Q: If F(x)= J. x) = [", "+!dt then F'(x) dt , then F'(x)= /3 sint

A: If Fx=∫π3xt2+1sintdt, then evaluate the value of F'x.

Q: 4. Find the second derivative for the following function a) )* 22 y3(x+ (an b) f(x)=/2x + at x= 2 c)…

A: See the attachment

Q: 3. Evaluate the derivate ax дz of the implicit equation x^sin(x) - ln(x²y) = -z²y + x

A:

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1