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Why is the derivative of x^n, nx^(n-1)?

From the definition of a derivative: f'(x) = lim h->0 ((f(x+h) - f(x)) / h) Let f(x) = x^n --> d\dx x^n = lim h->0 (((x+h)^n - x^n) / h) By binomial expansion, (x+h)^n = x^n + nhx^(n-1) + n(n-1)h...

JF
Answered by Joshua F. Maths tutor
4746 Views

¿Cuál es la diferencia entre cuando y cuándo?

"Cuando" sin tilde se utiliza siempre que se quiere expresar una condición en el futuro. Ejemplo: Iré a la casa de mi amigo cuando tenga tiempo. En este caso, ir a la casa de s...

KH
Answered by Karl H. Spanish tutor
40058 Views

Show that 12coshx - 4sinhx = 4e^x + 8e^-x

Using the definitions of coshx and sinhx (coshx=1/2(e^x+e^-x) and sinhx=1/2(e^x-e^-x)), we can substitute these into what we want to show, giving 12(1/2(e^x+e^-x)) - 4(1/2(e^x-e^x)), expanding this out gi...

EW
Answered by Emily W. Maths tutor
3611 Views

'Women in Jane Austen's novel 'Emma' are consistently undermined by their male superiors.' Discuss.

First, in the introduction, I would suggest that you would have to define the key terms. So for example, which female characters are you going to discuss? You cannot discuss them all to great detail, so p...

AP
Answered by Alice P. English tutor
2426 Views

Discuss normative and informational social influence.

Normative social influence occurs when an individual goes along with the majority because they don't want to be excluded from the group. This occurs due to compliance as people are scared of being rejecte...

LK
7552 Views

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