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    Gradient of the tangent (differentiation)

    Find the gradient of the tangent to the curve y = (2x-1)/x[sup:1x8n67k8]2[/sup:1x8n67k8]+3 at the point where the curve cuts the x-axis. I've found the dy/dx already but I'm not sure what I should do next.
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    Differentiation when x=-1

    Given that y= (2x+3)[sup:1rlan0cz]5[/sup:1rlan0cz](x+2)[sup:1rlan0cz]8[/sup:1rlan0cz], find the value of dy/dx when x=-1? I'm confused with this question: where and when do I put -1 in?
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    Differentiation

    Differentiate (a[sup:34a4ir4u]2[/sup:34a4ir4u]+x[sup:34a4ir4u]2[/sup:34a4ir4u]){sqrt(a[sup:34a4ir4u]2[/sup:34a4ir4u]-x[sup:34a4ir4u]2[/sup:34a4ir4u])} with respect to x? Can I simplify {sqrt(a[sup:34a4ir4u]2[/sup:34a4ir4u]-x[sup:34a4ir4u]2[/sup:34a4ir4u])} this instead of differentiating it? If...
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    Differentiation

    Differentiate 2x (sqrt(3x-1))[sup:9ycku2t5]5[/sup:9ycku2t5] with respect to x? First I found out that du/dx = 2 and dv/dx = 2x/(sqrt(2x[sup:9ycku2t5]2[/sup:9ycku2t5]+3)) Then I multiplied du/dx with v and u with dv/dx......... and I'm stuck with the fractions and powers. Can someone help?
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    Binomial in ratio

    In the expansion of (3+4x)[sup:33uo6uz1]n[/sup:33uo6uz1], the coefficients of x[sup:33uo6uz1]4[/sup:33uo6uz1] and x[sup:33uo6uz1]5[/sup:33uo6uz1] are in the ratio 5:16. Find the value of n. Do I do like this: [[n(n-1)(n-2)(n-3)(n-4)]/(5!)] / [[n(n-1)(n-2)(n-3)] /(4!)] = 16/5 ? If yes then what...
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    Binomial

    If the coefficients of x[sup:2dv5pkzn]k[/sup:2dv5pkzn] and x[sup:2dv5pkzn]k+1[/sup:2dv5pkzn] in the expansion of (2+3x)[sup:2dv5pkzn]19[/sup:2dv5pkzn] are equal, find k I've got the answer through the tables book but am wondering if there is a way to calculate it manually. PLEASE help.
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    Binomial Theorem 2

    Thanks man, soroban
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    Binomial Theorem 3

    Find, in ascending powers of x, the first three terms of (1+kx)[sup:262hd7sh]4[/sup:262hd7sh](1-4x)[sup:262hd7sh]3[/sup:262hd7sh]. I've found the first 3 terms of each: (1+kx)[sup:262hd7sh]4[/sup:262hd7sh] = 1 + 4kx + 6k[sup:262hd7sh]2[/sup:262hd7sh]x[sup:262hd7sh]2[/sup:262hd7sh] and...
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    Binomial Theorem 2

    The expansion of (1+kx)[sup:2mpidhus]n[/sup:2mpidhus], where n is a positive integer, is 1 + 8x + 120k[sup:2mpidhus]2[/sup:2mpidhus]x[sup:2mpidhus]2[/sup:2mpidhus] + hx[sup:2mpidhus]3[/sup:2mpidhus] +...... Calculate the values of n, h and k I've already done...
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    Binomial Theorem

    In my question Find, in ascending powers of x, the first 3 terms in the expansion of (2+3x-4x[sup:2czwrjur]2[/sup:2czwrjur])[sup:2czwrjur]5[/sup:2czwrjur] Well I arranged it into [(2+3x)[sup:2czwrjur]5[/sup:2czwrjur] +(-4x[sup:2czwrjur]2[/sup:2czwrjur])[sup:2czwrjur]5[/sup:2czwrjur]]. Then I'm...
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    Differentiation 3

    In my question: Differentiate 1/sqrt(a[sup:2uwf4kg9]2[/sup:2uwf4kg9] - 2x) with respect to x. I've changed (a[sup:2uwf4kg9]2[/sup:2uwf4kg9] -2x) to (a[sup:2uwf4kg9]2[/sup:2uwf4kg9] -2x)[sup:2uwf4kg9]-1/2[/sup:2uwf4kg9]. What next?
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    Differentiation gradient

    In my question: Find the gradient of the curve y= 2+ [12/(3x-4)[sup:1nprnysn]2[/sup:1nprnysn]] at the point (2,5) Do I differentiate 2 together with the fraction?
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    Diffrentiation 2

    How do I differentiate sqrt (2x+3) ? Must I change 2x to 2x^[sup:3hi7t11g]1/2[/sup:3hi7t11g] and 3 to 3^[sup:3hi7t11g]1/2[/sup:3hi7t11g]? Thx.
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    Function

    The function g(x) = p sin x+q where p < 0 has a maximum value of 10 and a minimum value of -4. Find the values of p and q I know that for sin graphs, p + q = maximum and -p + q = minimum, but how about this? I've tried reversing the unknowns and switching positive and negative signs but am...
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    In terms of p

    If sin 50[sup:cp0szzn7]o[/sup:cp0szzn7] = p, then how do I express cos 50 in terms of p? So far I've figured out that it's in quadrant 1, meaning it is positive.
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    Differentiation

    Thanks Mark for your steps. I got the answer 1. Thx a heap!
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    Gradient of the curve

    The gradient of the curve y= ax[sup:8lu77rre]2[/sup:8lu77rre] + bx at the points x=1 and x=3 are -2 and 10 respectively. Find the values of a and b Do I subsitute the values of x given to create 2 simultaneous equations or do I differentiate the equation first. HELP PLEASE!
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    Differentiation

    In my question: Calculate the gradient of the curve y= (x-4)/x when the point is y=3 Do I differentiate the equation of the curve first or do I subsitute y= 3 first. Thx.
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    Vertical post

    Says who! I know the Pythagorean Theorem but just that I did not realize that angle Q is 90[sup:gq8knfnm]o[/sup:gq8knfnm] :lol:
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    Vertical post

    Re: It seems to me that they're asking for the measure of angle QPX. All we need is the Pythagorean Theorem and the Law of Cosines, working with the right-triangle QPX. Can someone show me how to do it? THANKS!
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