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secondary 4 | A Maths
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need help with these qns, pls explain too
Date Posted: 3 years ago
Views: 441
If I have time today, I do together with the probability questions
Today is probably the only day I can help you, but it will be late at night
Next two days I am not available at all
Next two days I am not available at all
ok thx :)
also need explanation as i dont really know how exponential and logarithmic differentiation works... especially the questions at my most recent post on differentiation of exponential functions as im unable to do it
also need explanation as i dont really know how exponential and logarithmic differentiation works... especially the questions at my most recent post on differentiation of exponential functions as im unable to do it
There are rules to follow for trigonometric, exponential and logarithmic differentiation. The most basic of them are as follows.
sin x ==> cos x
cos x ==> - sin x
tan x ==> sec² x
e^x ==> e^x (remains unchanged!)
ln x ==> 1/x (one of the unusual ones in which a logarithm suddenly becomes purely algebraic)
For the chain rules to apply, there are rules to follow also.
The chain rule for trigonometric terms applies in the angle mentioned. For example, in sin 2x, the angle is 2x, so the chain rule requires us to differentiate the 2x. Similarly, in tan (2x² + 3x), the angle is (2x² + 3x), so we must differentiate this.
sin 2x ==> 2 cos 2x
tan (2x² + 3x) ==> (4x + 3) sec² (2x² + 3x)
The chain rule for exponential terms applies in the power of the exponential, while the chain rule for logarithmic terms applies in the terms to be logged.
sin x ==> cos x
cos x ==> - sin x
tan x ==> sec² x
e^x ==> e^x (remains unchanged!)
ln x ==> 1/x (one of the unusual ones in which a logarithm suddenly becomes purely algebraic)
For the chain rules to apply, there are rules to follow also.
The chain rule for trigonometric terms applies in the angle mentioned. For example, in sin 2x, the angle is 2x, so the chain rule requires us to differentiate the 2x. Similarly, in tan (2x² + 3x), the angle is (2x² + 3x), so we must differentiate this.
sin 2x ==> 2 cos 2x
tan (2x² + 3x) ==> (4x + 3) sec² (2x² + 3x)
The chain rule for exponential terms applies in the power of the exponential, while the chain rule for logarithmic terms applies in the terms to be logged.
how about d/dx = ln4 tho... theres no x in it and ln(pi(x) - 6x^2)
how about d/dx = ln4 tho... theres no x in it and ln(pi(x) - 6x^2)
d/dx (ln 4) is zero and not 1/4 since there is no x in it (i.e. d/dx (ln x) is 1/x but the same cannot be said for d/dx (ln 4))
d/dx (ln 4) is zero and not 1/4 since there is no x in it (i.e. d/dx (ln x) is 1/x but the same cannot be said for d/dx (ln 4))
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Practise Now 5
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3 years ago
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Practise Now 6, Practise Now 7, first question of Practise Now 8
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Second and third questions of Practise Now 8
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didnt receive any notification of the answer....
for question 3, why is it not 3ln(ex+6) using the power rule tho
for question 3, why is it not 3ln(ex+6) using the power rule tho
when they ask us to find the first derivative even when they give us the x value, we do not need to press the answer into the calculator to find the value?
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First question of Practise Now 9
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3 years ago
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Second and third questions of Practise Now 9
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