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What method should I use to differentiate equations with an x as the power of a number. E.g. 2^x

Take the log of both sidesln(y) = ln(2^x)This can be re-written as:ln(y) = ln(2)*xTake the exponent of both sidese^ln(y) = e^(ln(2)*x)Which gives:y = e^(ln(2)*x)Since ln(2) is a constant, apply the usual ...

Answered by Billy T. Maths tutor
2337 Views

Given g(x) = 4* sin (3*x), find the value of g'(pi/3).

Using the table of standard derivatives given at the beginning of the Higher Paper we have, for f(x) = sin(ax), f'(x) = a * cos (ax)and so with this we have, g(x) = 4 * sin(3x), g'(x) = 4 * 3...

Answered by Romy M. Maths tutor
846 Views

Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3 5 of his share of the money to his mother. How much money does Lionel give to his mother?

4 + 5 =9Lionel receives 5/9 x $675 = $375Lionel's mum receives 3/5 x $375 = $225

Answered by Asiyah I. Maths tutor
10661 Views

Solve the simultaneous equations. 2x+5y=-4 and 7x+y=19

This can be solved using either substitution or elimination. I think this question is best approached by elimination.By elimination: Multiply the second equation by 5. The minus the first equation ...

Answered by Nisha W. Maths tutor
2535 Views

Sam is a bodybuilder. He currently weighs 90kg, but is aiming to be at 130kg in the next four months. Every month, he puts on 8% of his weight. Does he reach his target?


90kg x (1.08)^4= 122.44....No, he does not reach his target

Answered by ANGELICA S. Maths tutor
2258 Views

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