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y=f(a^x) and f(sinx)=lnx find dy/dx
Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1)but f(sinx) = lnx implies f(x) = ln(arcsinx)hence f''(x) = (1/arcsinx) (1/ ( ( 1-x^2 ) ^ ( !/2 ) ) implies f''(a^x) = (1/arcsin(a^x)) (1/ ((1-a ^ (2x)) ^ (1/2))) ............(2)hence from ...(1) &.....(2) the solution is obtained but it should br noted that the given solution exist only when x belongs to (0,1].
how to solve imaginary number such as like (-3v-5)² ?? Can I cancel the radical sign and the power of two ? and square the -3 and times to -5 ? hope you will answer this :) thanks
HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b
Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.
is mass marketing completely dead?
Instructions: 1. Write the null and alternative hypotheses. 2. Calculate the test statistic. 3. Determine the critical value whether or not there has been an improv
what is the differeance in between determinate and matrix .
given dimensions: 130cm, 180cm, and 190cm is to be divided by a line bisecting the longest side shown from its opposite vertex. what''s the area adjacent to 180cm? ;
limit x APProaches infinity (1+1/x)x=e
help me on thus subject pls
Pepsi: A dummy variable where 1 denotes choice of Pepsi by the i-th customer and 0 otherwise Price_P: The price of a 2-liter bottle of Pepsi at the time
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