differentiate

1. Determining the derivative with respect to x

I am supposed to determine the derivative with respect to x of: 1. f(x) = (x^2+3)^4 and 2. g(x) = sort of x+5 over x^2 I tried to differentiate them but it is not the right answer.. What am I supposed to do?
2. Integrate and Differentiate f(z)= 1/x^(2)

Hi I am working on a question that simply states: Differentiate and Integrate the following functions... ..f(z)= 1/x^(2) If I am meant to differentiate with respect to z then do either: (i) leave the x term as it is; (ii) not include the x term as differentiating with respect to z does not...

Differentiate: f(x)= sin2(pi)x I understand that sin becomes cos, but I don't know what to do whenever pi or anything else is attached. Are they considered constants? Or am I missing something? Sent from my SM-G900V using Tapatalk
4. differentiate power series

for d/dx(e^x) , the series should be start from 2 rather than 1 , right ? because when k = 1 , the circled part would become 0 , the series for (e^x) is 1 + x + ..........
5. differentiate arc cosh ( cosh x )

how to get the ans ? i have attacahed the ans is the 2nd pic.
6. differentiate arc sinh x

which is the correct ans ? my ans or the ans provided ? P/s : the ans provided gt abs (x) at the denominator , right ?
7. I want to differentiate this equation.

Hi all, I want to differentiate this equation which is looking complex. So, Help me out in differentiating this equation. I attached the differential equation below in image file. Thanks in advance
8. Which statistical variables used to differentiate?

Which two tests or variables can you determine these two graphs?
9. differentiate the following expressions

Can someone please help me. I am so stuck on these questions. I have had a go at the first one and got an answer of 1/2sqrt(cosx) unsure if thats right though. I have attached the expressions as a file on this thread. hopefully someone understands it Thanks in advance

11. Differentiate sigmoid dissolution equation

The equation below describes the dissolution of a drug as a percentage (Y) with respect to time (X). A, B and G are constants. The shape of the Y vs X relationship is sigmoidal. Y=(A*X^G)/(B^G+X^G) Please can I be shown how to obtain the first derivative (dY/dX) of this equation. ANGUS
12. Implicite Differentiate + Tangent Problem

Hello, I am really confused to solve this problem : "The equation of a curve is xy(x + y) = 2a^3, where a is a non-zero constant. Show that there is only one point on the curve at which the tangent is parallel to the x-axis, and find the coordinates of this point. " Help me, Please. Regards
13. How to differentiate x^4 over x^2

$$\frac{dx^4}{dx^2}=?$$ Maybe an insanely stupid question, but I have to ask. Is it $$y=x^2$$ $$\frac{dy^2}{dy} = 2y = 2x^2$$ ?
14. How do I differentiate this?

Done most of my practice problems easily, but this one has me stumped.. y = x^7(3x^4 + 12x - 1)^2 Do I use the Product Rule with f(x) and g(x) both being the term inside the parenthesis, but if so what on earth do I do with the x^7 on the outside? Never had a term in front like this. Any help...
15. Help needed w/ differentiation

Hi, I am having trouble with a couple questions and my book does not feature any equivalent sample questions, nor does it explain how to deal with anything like them. The problems are: y = \frac{\sqrt{x}-2}{\sqrt{x}+2} and F(x) = (x^5 - 1)^4 (2 - 3x)^3 I have tried to apply the quotient...
16. Differentiate a = - kv^2

Hi everyone! Can you please explain to me how to differentiate a = -kv2, where a is acceleration, v is velocity, and k is a constant. I am supposed to differentiate with respect to t , to find v(t), so it is supposed to be a = dv/dt. Thank you for your time!
17. Differentiate f(x) and solve f'(x) = 0.

Hello I have hard time with this question While solving a problem in my course f(x) = ax ( 1 - e^{ b ( \frac{1}{{x}} - c ) } ) Differentiating gives \frac{df}{dx} = a ( 1 - e^{ \frac{b}{x} - bc } +\frac{b}{x} e^{ \frac{b}{x} - bc } ) Setting equal to zero gives e^{ \frac{b}{x} - bc } ( 1 -...
18. Prove the identity by direct differentiation

Hi, please have a look at the attached question and the attempt made to solve, but I can't The question is Problem 1.2 (b) The vectors in my working are underlined, but are bold in the question. The thing is, that I don't know where the c springs from in the RHS. Here is the question: My...
19. Unsure of how to differentiate this expression

Hi everyone, this is an exercise from my circuit class, it involves calculus, and I am unsure about how to do it. Differentiate the following expression with respect to RL: From the solutions manual it seems like I am supposed to use the quotient rule. This confuses me, because (other than...
20. differentiate

differentiate with respect to t where t is real \frac{w+t}{|w+t|^2} where w is a constant complex number. I get \frac{|z+t|^2-2(z+t)^2}{|z+t|^4} but that is the wrong answer in my book. Thanks